Home / 288.24-431.64-280

Finding the Fourth Proportional to 288.24, 431.64 and 280

Calculator

Solution

The fourth proportional to 288.24, 431.64 and 280 is: 419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.24 : 431.64 = 280 : x
  2. Step 2: Convert to fraction form
    288.24/431.64 = 280/x
  3. Step 3: Cross multiply
    288.24x = 431.64 × 280
  4. Step 4: Simplify right side
    288.24x = 120,859.20
  5. Step 5: Solve for x
    x = 120,859.20/288.24
  6. Step 6: Final answer
    x = 419.30

Related Problems

Find fourth proportional to 144.12, 215.82 and 140
Half scale
Find fourth proportional to 576.48, 863.28 and 560
Double scale
Find fourth proportional to 289.24, 433.14 and 281
Similar ratio
Find fourth proportional to 432.36, 647.46 and 420
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.