Home / 369.60-509.28-259.20

Finding the Fourth Proportional to 369.60, 509.28 and 259.20

Calculator

Solution

The fourth proportional to 369.60, 509.28 and 259.20 is: 357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 509.28 = 259.20 : x
  2. Step 2: Convert to fraction form
    369.60/509.28 = 259.20/x
  3. Step 3: Cross multiply
    369.60x = 509.28 × 259.20
  4. Step 4: Simplify right side
    369.60x = 132,005.38
  5. Step 5: Solve for x
    x = 132,005.38/369.60
  6. Step 6: Final answer
    x = 357.16

Related Problems

Find fourth proportional to 184.80, 254.64 and 129.60
Half scale
Find fourth proportional to 739.20, 1,018.56 and 518.40
Double scale
Find fourth proportional to 370.60, 510.66 and 260.20
Similar ratio
Find fourth proportional to 554.40, 763.92 and 388.80
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.