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Finding the Fourth Proportional to 283.74, 425.10 and 238.02

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Solution

The fourth proportional to 283.74, 425.10 and 238.02 is: 356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.74 : 425.10 = 238.02 : x
  2. Step 2: Convert to fraction form
    283.74/425.10 = 238.02/x
  3. Step 3: Cross multiply
    283.74x = 425.10 × 238.02
  4. Step 4: Simplify right side
    283.74x = 101,182.30
  5. Step 5: Solve for x
    x = 101,182.30/283.74
  6. Step 6: Final answer
    x = 356.60

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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.