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Finding the Fourth Proportional to 92.90, 138.58 and 89.06

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Solution

The fourth proportional to 92.90, 138.58 and 89.06 is: 132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.90 : 138.58 = 89.06 : x
  2. Step 2: Convert to fraction form
    92.90/138.58 = 89.06/x
  3. Step 3: Cross multiply
    92.90x = 138.58 × 89.06
  4. Step 4: Simplify right side
    92.90x = 12,341.93
  5. Step 5: Solve for x
    x = 12,341.93/92.90
  6. Step 6: Final answer
    x = 132.85

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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.