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Finding the Fourth Proportional to 269.53, 402.40 and 238.45

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Solution

The fourth proportional to 269.53, 402.40 and 238.45 is: 356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.53 : 402.40 = 238.45 : x
  2. Step 2: Convert to fraction form
    269.53/402.40 = 238.45/x
  3. Step 3: Cross multiply
    269.53x = 402.40 × 238.45
  4. Step 4: Simplify right side
    269.53x = 95,952.28
  5. Step 5: Solve for x
    x = 95,952.28/269.53
  6. Step 6: Final answer
    x = 356.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.