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Finding the Fourth Proportional to 100.83, 151.02 and 88.77

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Solution

The fourth proportional to 100.83, 151.02 and 88.77 is: 132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.83 : 151.02 = 88.77 : x
  2. Step 2: Convert to fraction form
    100.83/151.02 = 88.77/x
  3. Step 3: Cross multiply
    100.83x = 151.02 × 88.77
  4. Step 4: Simplify right side
    100.83x = 13,406.05
  5. Step 5: Solve for x
    x = 13,406.05/100.83
  6. Step 6: Final answer
    x = 132.96

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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.