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Finding the Fourth Proportional to 294.86, 404.75 and 261.38

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Solution

The fourth proportional to 294.86, 404.75 and 261.38 is: 358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.86 : 404.75 = 261.38 : x
  2. Step 2: Convert to fraction form
    294.86/404.75 = 261.38/x
  3. Step 3: Cross multiply
    294.86x = 404.75 × 261.38
  4. Step 4: Simplify right side
    294.86x = 105,792.25
  5. Step 5: Solve for x
    x = 105,792.25/294.86
  6. Step 6: Final answer
    x = 358.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.