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Finding the Fourth Proportional to 269.88, 373.11 and 258.40

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Solution

The fourth proportional to 269.88, 373.11 and 258.40 is: 357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.88 : 373.11 = 258.40 : x
  2. Step 2: Convert to fraction form
    269.88/373.11 = 258.40/x
  3. Step 3: Cross multiply
    269.88x = 373.11 × 258.40
  4. Step 4: Simplify right side
    269.88x = 96,411.62
  5. Step 5: Solve for x
    x = 96,411.62/269.88
  6. Step 6: Final answer
    x = 357.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.