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Finding the Fourth Proportional to 101.77, 152.75 and 53.71

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Solution

The fourth proportional to 101.77, 152.75 and 53.71 is: 80.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.77 : 152.75 = 53.71 : x
  2. Step 2: Convert to fraction form
    101.77/152.75 = 53.71/x
  3. Step 3: Cross multiply
    101.77x = 152.75 × 53.71
  4. Step 4: Simplify right side
    101.77x = 8,204.20
  5. Step 5: Solve for x
    x = 8,204.20/101.77
  6. Step 6: Final answer
    x = 80.62

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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.