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Finding the Fourth Proportional to 282.62, 424.02 and 100.10

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Solution

The fourth proportional to 282.62, 424.02 and 100.10 is: 150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.62 : 424.02 = 100.10 : x
  2. Step 2: Convert to fraction form
    282.62/424.02 = 100.10/x
  3. Step 3: Cross multiply
    282.62x = 424.02 × 100.10
  4. Step 4: Simplify right side
    282.62x = 42,444.40
  5. Step 5: Solve for x
    x = 42,444.40/282.62
  6. Step 6: Final answer
    x = 150.18

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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.