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Finding the Fourth Proportional to 58.10, 80.14 and 38.42

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Solution

The fourth proportional to 58.10, 80.14 and 38.42 is: 52.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.10 : 80.14 = 38.42 : x
  2. Step 2: Convert to fraction form
    58.10/80.14 = 38.42/x
  3. Step 3: Cross multiply
    58.10x = 80.14 × 38.42
  4. Step 4: Simplify right side
    58.10x = 3,078.98
  5. Step 5: Solve for x
    x = 3,078.98/58.10
  6. Step 6: Final answer
    x = 52.99

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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.