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Finding the Fourth Proportional to 282.36, 423.74 and 99.77

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Solution

The fourth proportional to 282.36, 423.74 and 99.77 is: 149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.36 : 423.74 = 99.77 : x
  2. Step 2: Convert to fraction form
    282.36/423.74 = 99.77/x
  3. Step 3: Cross multiply
    282.36x = 423.74 × 99.77
  4. Step 4: Simplify right side
    282.36x = 42,276.54
  5. Step 5: Solve for x
    x = 42,276.54/282.36
  6. Step 6: Final answer
    x = 149.73

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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.