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Finding the Fourth Proportional to 108.64, 150.02 and 86.96

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Solution

The fourth proportional to 108.64, 150.02 and 86.96 is: 120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.64 : 150.02 = 86.96 : x
  2. Step 2: Convert to fraction form
    108.64/150.02 = 86.96/x
  3. Step 3: Cross multiply
    108.64x = 150.02 × 86.96
  4. Step 4: Simplify right side
    108.64x = 13,045.74
  5. Step 5: Solve for x
    x = 13,045.74/108.64
  6. Step 6: Final answer
    x = 120.08

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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.