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Finding the Fourth Proportional to 104.42, 155.84 and 91.58

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Solution

The fourth proportional to 104.42, 155.84 and 91.58 is: 136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.42 : 155.84 = 91.58 : x
  2. Step 2: Convert to fraction form
    104.42/155.84 = 91.58/x
  3. Step 3: Cross multiply
    104.42x = 155.84 × 91.58
  4. Step 4: Simplify right side
    104.42x = 14,271.83
  5. Step 5: Solve for x
    x = 14,271.83/104.42
  6. Step 6: Final answer
    x = 136.68

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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.