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Finding the Fourth Proportional to 108.98, 150.31 and 76.24

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Solution

The fourth proportional to 108.98, 150.31 and 76.24 is: 105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.98 : 150.31 = 76.24 : x
  2. Step 2: Convert to fraction form
    108.98/150.31 = 76.24/x
  3. Step 3: Cross multiply
    108.98x = 150.31 × 76.24
  4. Step 4: Simplify right side
    108.98x = 11,459.63
  5. Step 5: Solve for x
    x = 11,459.63/108.98
  6. Step 6: Final answer
    x = 105.15

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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.