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Finding the Fourth Proportional to 52.01, 71.70 and 42.78

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Solution

The fourth proportional to 52.01, 71.70 and 42.78 is: 58.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.01 : 71.70 = 42.78 : x
  2. Step 2: Convert to fraction form
    52.01/71.70 = 42.78/x
  3. Step 3: Cross multiply
    52.01x = 71.70 × 42.78
  4. Step 4: Simplify right side
    52.01x = 3,067.33
  5. Step 5: Solve for x
    x = 3,067.33/52.01
  6. Step 6: Final answer
    x = 58.98

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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.