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Finding the Fourth Proportional to 62.16, 92.60 and 58.74

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Solution

The fourth proportional to 62.16, 92.60 and 58.74 is: 87.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.16 : 92.60 = 58.74 : x
  2. Step 2: Convert to fraction form
    62.16/92.60 = 58.74/x
  3. Step 3: Cross multiply
    62.16x = 92.60 × 58.74
  4. Step 4: Simplify right side
    62.16x = 5,439.03
  5. Step 5: Solve for x
    x = 5,439.03/62.16
  6. Step 6: Final answer
    x = 87.50

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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.