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Finding the Fourth Proportional to 89.06, 133.65 and 60.19

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Solution

The fourth proportional to 89.06, 133.65 and 60.19 is: 90.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 133.65 = 60.19 : x
  2. Step 2: Convert to fraction form
    89.06/133.65 = 60.19/x
  3. Step 3: Cross multiply
    89.06x = 133.65 × 60.19
  4. Step 4: Simplify right side
    89.06x = 8,044.06
  5. Step 5: Solve for x
    x = 8,044.06/89.06
  6. Step 6: Final answer
    x = 90.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.