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Finding the Fourth Proportional to 282.78, 424.70 and 231.54

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Solution

The fourth proportional to 282.78, 424.70 and 231.54 is: 347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.78 : 424.70 = 231.54 : x
  2. Step 2: Convert to fraction form
    282.78/424.70 = 231.54/x
  3. Step 3: Cross multiply
    282.78x = 424.70 × 231.54
  4. Step 4: Simplify right side
    282.78x = 98,335.04
  5. Step 5: Solve for x
    x = 98,335.04/282.78
  6. Step 6: Final answer
    x = 347.74

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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.