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Finding the Fourth Proportional to 269.47, 401.61 and 264.07

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Solution

The fourth proportional to 269.47, 401.61 and 264.07 is: 393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.47 : 401.61 = 264.07 : x
  2. Step 2: Convert to fraction form
    269.47/401.61 = 264.07/x
  3. Step 3: Cross multiply
    269.47x = 401.61 × 264.07
  4. Step 4: Simplify right side
    269.47x = 106,053.15
  5. Step 5: Solve for x
    x = 106,053.15/269.47
  6. Step 6: Final answer
    x = 393.56

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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.