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Finding the Fourth Proportional to 108.48, 160.88 and 108.08

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Solution

The fourth proportional to 108.48, 160.88 and 108.08 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.48 : 160.88 = 108.08 : x
  2. Step 2: Convert to fraction form
    108.48/160.88 = 108.08/x
  3. Step 3: Cross multiply
    108.48x = 160.88 × 108.08
  4. Step 4: Simplify right side
    108.48x = 17,387.91
  5. Step 5: Solve for x
    x = 17,387.91/108.48
  6. Step 6: Final answer
    x = 160.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.