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Finding the Fourth Proportional to 432.29, 596.40 and 285.08

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Solution

The fourth proportional to 432.29, 596.40 and 285.08 is: 393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.29 : 596.40 = 285.08 : x
  2. Step 2: Convert to fraction form
    432.29/596.40 = 285.08/x
  3. Step 3: Cross multiply
    432.29x = 596.40 × 285.08
  4. Step 4: Simplify right side
    432.29x = 170,018.73
  5. Step 5: Solve for x
    x = 170,018.73/432.29
  6. Step 6: Final answer
    x = 393.30

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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.