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Finding the Fourth Proportional to 52.05, 71.81 and 31.32

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Solution

The fourth proportional to 52.05, 71.81 and 31.32 is: 43.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.05 : 71.81 = 31.32 : x
  2. Step 2: Convert to fraction form
    52.05/71.81 = 31.32/x
  3. Step 3: Cross multiply
    52.05x = 71.81 × 31.32
  4. Step 4: Simplify right side
    52.05x = 2,249.17
  5. Step 5: Solve for x
    x = 2,249.17/52.05
  6. Step 6: Final answer
    x = 43.21

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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.