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Finding the Fourth Proportional to 61.05, 90.86 and 58.89

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Solution

The fourth proportional to 61.05, 90.86 and 58.89 is: 87.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.05 : 90.86 = 58.89 : x
  2. Step 2: Convert to fraction form
    61.05/90.86 = 58.89/x
  3. Step 3: Cross multiply
    61.05x = 90.86 × 58.89
  4. Step 4: Simplify right side
    61.05x = 5,350.75
  5. Step 5: Solve for x
    x = 5,350.75/61.05
  6. Step 6: Final answer
    x = 87.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.