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Finding the Fourth Proportional to 151.98, 209.79 and 89.83

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Solution

The fourth proportional to 151.98, 209.79 and 89.83 is: 124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.98 : 209.79 = 89.83 : x
  2. Step 2: Convert to fraction form
    151.98/209.79 = 89.83/x
  3. Step 3: Cross multiply
    151.98x = 209.79 × 89.83
  4. Step 4: Simplify right side
    151.98x = 18,845.36
  5. Step 5: Solve for x
    x = 18,845.36/151.98
  6. Step 6: Final answer
    x = 124.00

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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.