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Finding the Fourth Proportional to 431.90, 596.31 and 284.78

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Solution

The fourth proportional to 431.90, 596.31 and 284.78 is: 393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.90 : 596.31 = 284.78 : x
  2. Step 2: Convert to fraction form
    431.90/596.31 = 284.78/x
  3. Step 3: Cross multiply
    431.90x = 596.31 × 284.78
  4. Step 4: Simplify right side
    431.90x = 169,817.16
  5. Step 5: Solve for x
    x = 169,817.16/431.90
  6. Step 6: Final answer
    x = 393.19

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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.