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Finding the Fourth Proportional to 522.92, 784.36 and 138.16

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Solution

The fourth proportional to 522.92, 784.36 and 138.16 is: 207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.92 : 784.36 = 138.16 : x
  2. Step 2: Convert to fraction form
    522.92/784.36 = 138.16/x
  3. Step 3: Cross multiply
    522.92x = 784.36 × 138.16
  4. Step 4: Simplify right side
    522.92x = 108,367.18
  5. Step 5: Solve for x
    x = 108,367.18/522.92
  6. Step 6: Final answer
    x = 207.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.