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Finding the Fourth Proportional to 101.58, 152.17 and 52.78

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Solution

The fourth proportional to 101.58, 152.17 and 52.78 is: 79.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.58 : 152.17 = 52.78 : x
  2. Step 2: Convert to fraction form
    101.58/152.17 = 52.78/x
  3. Step 3: Cross multiply
    101.58x = 152.17 × 52.78
  4. Step 4: Simplify right side
    101.58x = 8,031.40
  5. Step 5: Solve for x
    x = 8,031.40/101.58
  6. Step 6: Final answer
    x = 79.06

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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.