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Finding the Fourth Proportional to 119.59, 165.08 and 88.49

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Solution

The fourth proportional to 119.59, 165.08 and 88.49 is: 122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.59 : 165.08 = 88.49 : x
  2. Step 2: Convert to fraction form
    119.59/165.08 = 88.49/x
  3. Step 3: Cross multiply
    119.59x = 165.08 × 88.49
  4. Step 4: Simplify right side
    119.59x = 14,607.93
  5. Step 5: Solve for x
    x = 14,607.93/119.59
  6. Step 6: Final answer
    x = 122.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.