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Finding the Fourth Proportional to 487.36, 730.92 and 213.52

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Solution

The fourth proportional to 487.36, 730.92 and 213.52 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.36 : 730.92 = 213.52 : x
  2. Step 2: Convert to fraction form
    487.36/730.92 = 213.52/x
  3. Step 3: Cross multiply
    487.36x = 730.92 × 213.52
  4. Step 4: Simplify right side
    487.36x = 156,066.04
  5. Step 5: Solve for x
    x = 156,066.04/487.36
  6. Step 6: Final answer
    x = 320.23

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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.