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Finding the Fourth Proportional to 55.48, 83.16 and 31.42

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Solution

The fourth proportional to 55.48, 83.16 and 31.42 is: 47.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.48 : 83.16 = 31.42 : x
  2. Step 2: Convert to fraction form
    55.48/83.16 = 31.42/x
  3. Step 3: Cross multiply
    55.48x = 83.16 × 31.42
  4. Step 4: Simplify right side
    55.48x = 2,612.89
  5. Step 5: Solve for x
    x = 2,612.89/55.48
  6. Step 6: Final answer
    x = 47.10

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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.