Home / 282.19-389.48-164.20

Finding the Fourth Proportional to 282.19, 389.48 and 164.20

Calculator

Solution

The fourth proportional to 282.19, 389.48 and 164.20 is: 226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.19 : 389.48 = 164.20 : x
  2. Step 2: Convert to fraction form
    282.19/389.48 = 164.20/x
  3. Step 3: Cross multiply
    282.19x = 389.48 × 164.20
  4. Step 4: Simplify right side
    282.19x = 63,951.80
  5. Step 5: Solve for x
    x = 63,951.80/282.19
  6. Step 6: Final answer
    x = 226.63

Related Problems

Find fourth proportional to 141.10, 194.74 and 82.10
Half scale
Find fourth proportional to 564.38, 778.95 and 328.40
Double scale
Find fourth proportional to 283.19, 390.86 and 165.20
Similar ratio
Find fourth proportional to 423.29, 584.21 and 246.30
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.