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Finding the Fourth Proportional to 58.78, 81.10 and 38.05

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Solution

The fourth proportional to 58.78, 81.10 and 38.05 is: 52.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.78 : 81.10 = 38.05 : x
  2. Step 2: Convert to fraction form
    58.78/81.10 = 38.05/x
  3. Step 3: Cross multiply
    58.78x = 81.10 × 38.05
  4. Step 4: Simplify right side
    58.78x = 3,085.86
  5. Step 5: Solve for x
    x = 3,085.86/58.78
  6. Step 6: Final answer
    x = 52.50

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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.