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Finding the Fourth Proportional to 112.77, 168.17 and 100.58

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Solution

The fourth proportional to 112.77, 168.17 and 100.58 is: 149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.77 : 168.17 = 100.58 : x
  2. Step 2: Convert to fraction form
    112.77/168.17 = 100.58/x
  3. Step 3: Cross multiply
    112.77x = 168.17 × 100.58
  4. Step 4: Simplify right side
    112.77x = 16,913.19
  5. Step 5: Solve for x
    x = 16,913.19/112.77
  6. Step 6: Final answer
    x = 149.98

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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.