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Finding the Fourth Proportional to 52.57, 72.41 and 42.21

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Solution

The fourth proportional to 52.57, 72.41 and 42.21 is: 58.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.57 : 72.41 = 42.21 : x
  2. Step 2: Convert to fraction form
    52.57/72.41 = 42.21/x
  3. Step 3: Cross multiply
    52.57x = 72.41 × 42.21
  4. Step 4: Simplify right side
    52.57x = 3,056.53
  5. Step 5: Solve for x
    x = 3,056.53/52.57
  6. Step 6: Final answer
    x = 58.14

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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.