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Finding the Fourth Proportional to 99.11, 149.20 and 89.19

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Solution

The fourth proportional to 99.11, 149.20 and 89.19 is: 134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.11 : 149.20 = 89.19 : x
  2. Step 2: Convert to fraction form
    99.11/149.20 = 89.19/x
  3. Step 3: Cross multiply
    99.11x = 149.20 × 89.19
  4. Step 4: Simplify right side
    99.11x = 13,307.00
  5. Step 5: Solve for x
    x = 13,307.00/99.11
  6. Step 6: Final answer
    x = 134.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.