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Finding the Fourth Proportional to 282.00, 423.02 and 87.14

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Solution

The fourth proportional to 282.00, 423.02 and 87.14 is: 130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.00 : 423.02 = 87.14 : x
  2. Step 2: Convert to fraction form
    282.00/423.02 = 87.14/x
  3. Step 3: Cross multiply
    282.00x = 423.02 × 87.14
  4. Step 4: Simplify right side
    282.00x = 36,860.16
  5. Step 5: Solve for x
    x = 36,860.16/282.00
  6. Step 6: Final answer
    x = 130.71

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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.