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Finding the Fourth Proportional to 269.52, 405.66 and 243

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Solution

The fourth proportional to 269.52, 405.66 and 243 is: 365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.52 : 405.66 = 243 : x
  2. Step 2: Convert to fraction form
    269.52/405.66 = 243/x
  3. Step 3: Cross multiply
    269.52x = 405.66 × 243
  4. Step 4: Simplify right side
    269.52x = 98,575.38
  5. Step 5: Solve for x
    x = 98,575.38/269.52
  6. Step 6: Final answer
    x = 365.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.