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Finding the Fourth Proportional to 282.39, 423.63 and 99.78

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Solution

The fourth proportional to 282.39, 423.63 and 99.78 is: 149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.39 : 423.63 = 99.78 : x
  2. Step 2: Convert to fraction form
    282.39/423.63 = 99.78/x
  3. Step 3: Cross multiply
    282.39x = 423.63 × 99.78
  4. Step 4: Simplify right side
    282.39x = 42,269.80
  5. Step 5: Solve for x
    x = 42,269.80/282.39
  6. Step 6: Final answer
    x = 149.69

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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.