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Finding the Fourth Proportional to 108.98, 162.40 and 105.31

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Solution

The fourth proportional to 108.98, 162.40 and 105.31 is: 156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.98 : 162.40 = 105.31 : x
  2. Step 2: Convert to fraction form
    108.98/162.40 = 105.31/x
  3. Step 3: Cross multiply
    108.98x = 162.40 × 105.31
  4. Step 4: Simplify right side
    108.98x = 17,101.94
  5. Step 5: Solve for x
    x = 17,101.94/108.98
  6. Step 6: Final answer
    x = 156.93

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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.