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Finding the Fourth Proportional to 381.92, 529.67 and 358.16

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Solution

The fourth proportional to 381.92, 529.67 and 358.16 is: 496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.92 : 529.67 = 358.16 : x
  2. Step 2: Convert to fraction form
    381.92/529.67 = 358.16/x
  3. Step 3: Cross multiply
    381.92x = 529.67 × 358.16
  4. Step 4: Simplify right side
    381.92x = 189,706.61
  5. Step 5: Solve for x
    x = 189,706.61/381.92
  6. Step 6: Final answer
    x = 496.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.