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Finding the Fourth Proportional to 112.58, 155.31 and 74.74

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Solution

The fourth proportional to 112.58, 155.31 and 74.74 is: 103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.58 : 155.31 = 74.74 : x
  2. Step 2: Convert to fraction form
    112.58/155.31 = 74.74/x
  3. Step 3: Cross multiply
    112.58x = 155.31 × 74.74
  4. Step 4: Simplify right side
    112.58x = 11,607.69
  5. Step 5: Solve for x
    x = 11,607.69/112.58
  6. Step 6: Final answer
    x = 103.10

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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.