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Finding the Fourth Proportional to 103.23, 155.46 and 89.87

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Solution

The fourth proportional to 103.23, 155.46 and 89.87 is: 135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.23 : 155.46 = 89.87 : x
  2. Step 2: Convert to fraction form
    103.23/155.46 = 89.87/x
  3. Step 3: Cross multiply
    103.23x = 155.46 × 89.87
  4. Step 4: Simplify right side
    103.23x = 13,970.24
  5. Step 5: Solve for x
    x = 13,970.24/103.23
  6. Step 6: Final answer
    x = 135.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.