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Finding the Fourth Proportional to 52.77, 79.17 and 20.69

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Solution

The fourth proportional to 52.77, 79.17 and 20.69 is: 31.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.77 : 79.17 = 20.69 : x
  2. Step 2: Convert to fraction form
    52.77/79.17 = 20.69/x
  3. Step 3: Cross multiply
    52.77x = 79.17 × 20.69
  4. Step 4: Simplify right side
    52.77x = 1,638.03
  5. Step 5: Solve for x
    x = 1,638.03/52.77
  6. Step 6: Final answer
    x = 31.04

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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.