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Finding the Fourth Proportional to 52.23, 72.08 and 28.92

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Solution

The fourth proportional to 52.23, 72.08 and 28.92 is: 39.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.23 : 72.08 = 28.92 : x
  2. Step 2: Convert to fraction form
    52.23/72.08 = 28.92/x
  3. Step 3: Cross multiply
    52.23x = 72.08 × 28.92
  4. Step 4: Simplify right side
    52.23x = 2,084.21
  5. Step 5: Solve for x
    x = 2,084.21/52.23
  6. Step 6: Final answer
    x = 39.90

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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.