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Finding the Fourth Proportional to 269.40, 400.57 and 258.46

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Solution

The fourth proportional to 269.40, 400.57 and 258.46 is: 384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.40 : 400.57 = 258.46 : x
  2. Step 2: Convert to fraction form
    269.40/400.57 = 258.46/x
  3. Step 3: Cross multiply
    269.40x = 400.57 × 258.46
  4. Step 4: Simplify right side
    269.40x = 103,531.32
  5. Step 5: Solve for x
    x = 103,531.32/269.40
  6. Step 6: Final answer
    x = 384.30

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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.