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Finding the Fourth Proportional to 487.02, 730.55 and 213.13

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Solution

The fourth proportional to 487.02, 730.55 and 213.13 is: 319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.02 : 730.55 = 213.13 : x
  2. Step 2: Convert to fraction form
    487.02/730.55 = 213.13/x
  3. Step 3: Cross multiply
    487.02x = 730.55 × 213.13
  4. Step 4: Simplify right side
    487.02x = 155,702.12
  5. Step 5: Solve for x
    x = 155,702.12/487.02
  6. Step 6: Final answer
    x = 319.70

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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.