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Finding the Fourth Proportional to 292.86, 403.97 and 187.91

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Solution

The fourth proportional to 292.86, 403.97 and 187.91 is: 259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.86 : 403.97 = 187.91 : x
  2. Step 2: Convert to fraction form
    292.86/403.97 = 187.91/x
  3. Step 3: Cross multiply
    292.86x = 403.97 × 187.91
  4. Step 4: Simplify right side
    292.86x = 75,909.97
  5. Step 5: Solve for x
    x = 75,909.97/292.86
  6. Step 6: Final answer
    x = 259.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.