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Finding the Fourth Proportional to 108.78, 162.17 and 103.02

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Solution

The fourth proportional to 108.78, 162.17 and 103.02 is: 153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.78 : 162.17 = 103.02 : x
  2. Step 2: Convert to fraction form
    108.78/162.17 = 103.02/x
  3. Step 3: Cross multiply
    108.78x = 162.17 × 103.02
  4. Step 4: Simplify right side
    108.78x = 16,706.24
  5. Step 5: Solve for x
    x = 16,706.24/108.78
  6. Step 6: Final answer
    x = 153.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.