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Finding the Fourth Proportional to 52.05, 71.79 and 31.02

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Solution

The fourth proportional to 52.05, 71.79 and 31.02 is: 42.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.05 : 71.79 = 31.02 : x
  2. Step 2: Convert to fraction form
    52.05/71.79 = 31.02/x
  3. Step 3: Cross multiply
    52.05x = 71.79 × 31.02
  4. Step 4: Simplify right side
    52.05x = 2,226.93
  5. Step 5: Solve for x
    x = 2,226.93/52.05
  6. Step 6: Final answer
    x = 42.78

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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.