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Finding the Fourth Proportional to 92.96, 138.75 and 90.39

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Solution

The fourth proportional to 92.96, 138.75 and 90.39 is: 134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.96 : 138.75 = 90.39 : x
  2. Step 2: Convert to fraction form
    92.96/138.75 = 90.39/x
  3. Step 3: Cross multiply
    92.96x = 138.75 × 90.39
  4. Step 4: Simplify right side
    92.96x = 12,541.61
  5. Step 5: Solve for x
    x = 12,541.61/92.96
  6. Step 6: Final answer
    x = 134.92

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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.