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Finding the Fourth Proportional to 282.21, 423.32 and 99.65

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Solution

The fourth proportional to 282.21, 423.32 and 99.65 is: 149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.21 : 423.32 = 99.65 : x
  2. Step 2: Convert to fraction form
    282.21/423.32 = 99.65/x
  3. Step 3: Cross multiply
    282.21x = 423.32 × 99.65
  4. Step 4: Simplify right side
    282.21x = 42,181.22
  5. Step 5: Solve for x
    x = 42,181.22/282.21
  6. Step 6: Final answer
    x = 149.47

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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.