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Finding the Fourth Proportional to 432.15, 596.61 and 285.14

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Solution

The fourth proportional to 432.15, 596.61 and 285.14 is: 393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.15 : 596.61 = 285.14 : x
  2. Step 2: Convert to fraction form
    432.15/596.61 = 285.14/x
  3. Step 3: Cross multiply
    432.15x = 596.61 × 285.14
  4. Step 4: Simplify right side
    432.15x = 170,114.39
  5. Step 5: Solve for x
    x = 170,114.39/432.15
  6. Step 6: Final answer
    x = 393.65

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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.