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Finding the Fourth Proportional to 52.02, 77.52 and 48.15

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Solution

The fourth proportional to 52.02, 77.52 and 48.15 is: 71.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.02 : 77.52 = 48.15 : x
  2. Step 2: Convert to fraction form
    52.02/77.52 = 48.15/x
  3. Step 3: Cross multiply
    52.02x = 77.52 × 48.15
  4. Step 4: Simplify right side
    52.02x = 3,732.59
  5. Step 5: Solve for x
    x = 3,732.59/52.02
  6. Step 6: Final answer
    x = 71.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.