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Finding the Fourth Proportional to 52.22, 78.35 and 42.56

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Solution

The fourth proportional to 52.22, 78.35 and 42.56 is: 63.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.22 : 78.35 = 42.56 : x
  2. Step 2: Convert to fraction form
    52.22/78.35 = 42.56/x
  3. Step 3: Cross multiply
    52.22x = 78.35 × 42.56
  4. Step 4: Simplify right side
    52.22x = 3,333.97
  5. Step 5: Solve for x
    x = 3,333.97/52.22
  6. Step 6: Final answer
    x = 63.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.