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Finding the Fourth Proportional to 90.49, 134.92 and 89.58

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Solution

The fourth proportional to 90.49, 134.92 and 89.58 is: 133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.49 : 134.92 = 89.58 : x
  2. Step 2: Convert to fraction form
    90.49/134.92 = 89.58/x
  3. Step 3: Cross multiply
    90.49x = 134.92 × 89.58
  4. Step 4: Simplify right side
    90.49x = 12,085.40
  5. Step 5: Solve for x
    x = 12,085.40/90.49
  6. Step 6: Final answer
    x = 133.56

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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.