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Finding the Fourth Proportional to 269.40, 405.71 and 237.25

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Solution

The fourth proportional to 269.40, 405.71 and 237.25 is: 357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.40 : 405.71 = 237.25 : x
  2. Step 2: Convert to fraction form
    269.40/405.71 = 237.25/x
  3. Step 3: Cross multiply
    269.40x = 405.71 × 237.25
  4. Step 4: Simplify right side
    269.40x = 96,254.70
  5. Step 5: Solve for x
    x = 96,254.70/269.40
  6. Step 6: Final answer
    x = 357.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.