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Finding the Fourth Proportional to 111.30, 153.45 and 86.64

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Solution

The fourth proportional to 111.30, 153.45 and 86.64 is: 119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.30 : 153.45 = 86.64 : x
  2. Step 2: Convert to fraction form
    111.30/153.45 = 86.64/x
  3. Step 3: Cross multiply
    111.30x = 153.45 × 86.64
  4. Step 4: Simplify right side
    111.30x = 13,294.91
  5. Step 5: Solve for x
    x = 13,294.91/111.30
  6. Step 6: Final answer
    x = 119.45

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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.