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Finding the Fourth Proportional to 108.62, 149.98 and 84.01

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Solution

The fourth proportional to 108.62, 149.98 and 84.01 is: 116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.62 : 149.98 = 84.01 : x
  2. Step 2: Convert to fraction form
    108.62/149.98 = 84.01/x
  3. Step 3: Cross multiply
    108.62x = 149.98 × 84.01
  4. Step 4: Simplify right side
    108.62x = 12,599.82
  5. Step 5: Solve for x
    x = 12,599.82/108.62
  6. Step 6: Final answer
    x = 116.00

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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.