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Finding the Fourth Proportional to 269.62, 401.74 and 258.21

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Solution

The fourth proportional to 269.62, 401.74 and 258.21 is: 384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.62 : 401.74 = 258.21 : x
  2. Step 2: Convert to fraction form
    269.62/401.74 = 258.21/x
  3. Step 3: Cross multiply
    269.62x = 401.74 × 258.21
  4. Step 4: Simplify right side
    269.62x = 103,732.64
  5. Step 5: Solve for x
    x = 103,732.64/269.62
  6. Step 6: Final answer
    x = 384.74

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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.