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Finding the Fourth Proportional to 431.68, 649.92 and 359.20

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Solution

The fourth proportional to 431.68, 649.92 and 359.20 is: 540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.68 : 649.92 = 359.20 : x
  2. Step 2: Convert to fraction form
    431.68/649.92 = 359.20/x
  3. Step 3: Cross multiply
    431.68x = 649.92 × 359.20
  4. Step 4: Simplify right side
    431.68x = 233,451.26
  5. Step 5: Solve for x
    x = 233,451.26/431.68
  6. Step 6: Final answer
    x = 540.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.