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Finding the Fourth Proportional to 432.17, 596.07 and 299.61

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Solution

The fourth proportional to 432.17, 596.07 and 299.61 is: 413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.17 : 596.07 = 299.61 : x
  2. Step 2: Convert to fraction form
    432.17/596.07 = 299.61/x
  3. Step 3: Cross multiply
    432.17x = 596.07 × 299.61
  4. Step 4: Simplify right side
    432.17x = 178,588.53
  5. Step 5: Solve for x
    x = 178,588.53/432.17
  6. Step 6: Final answer
    x = 413.24

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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.