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Finding the Fourth Proportional to 282.75, 424.29 and 130.75

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Solution

The fourth proportional to 282.75, 424.29 and 130.75 is: 196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.75 : 424.29 = 130.75 : x
  2. Step 2: Convert to fraction form
    282.75/424.29 = 130.75/x
  3. Step 3: Cross multiply
    282.75x = 424.29 × 130.75
  4. Step 4: Simplify right side
    282.75x = 55,475.26
  5. Step 5: Solve for x
    x = 55,475.26/282.75
  6. Step 6: Final answer
    x = 196.20

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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.