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Finding the Fourth Proportional to 269.19, 401.85 and 257.37

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Solution

The fourth proportional to 269.19, 401.85 and 257.37 is: 384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.19 : 401.85 = 257.37 : x
  2. Step 2: Convert to fraction form
    269.19/401.85 = 257.37/x
  3. Step 3: Cross multiply
    269.19x = 401.85 × 257.37
  4. Step 4: Simplify right side
    269.19x = 103,420.84
  5. Step 5: Solve for x
    x = 103,420.84/269.19
  6. Step 6: Final answer
    x = 384.20

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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.