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Finding the Fourth Proportional to 52.47, 78.12 and 52.20

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Solution

The fourth proportional to 52.47, 78.12 and 52.20 is: 77.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.47 : 78.12 = 52.20 : x
  2. Step 2: Convert to fraction form
    52.47/78.12 = 52.20/x
  3. Step 3: Cross multiply
    52.47x = 78.12 × 52.20
  4. Step 4: Simplify right side
    52.47x = 4,077.86
  5. Step 5: Solve for x
    x = 4,077.86/52.47
  6. Step 6: Final answer
    x = 77.72

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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.