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Finding the Fourth Proportional to 104.47, 156.36 and 89.08

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Solution

The fourth proportional to 104.47, 156.36 and 89.08 is: 133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.47 : 156.36 = 89.08 : x
  2. Step 2: Convert to fraction form
    104.47/156.36 = 89.08/x
  3. Step 3: Cross multiply
    104.47x = 156.36 × 89.08
  4. Step 4: Simplify right side
    104.47x = 13,928.55
  5. Step 5: Solve for x
    x = 13,928.55/104.47
  6. Step 6: Final answer
    x = 133.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.