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Finding the Fourth Proportional to 295.74, 408.84 and 292.98

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Solution

The fourth proportional to 295.74, 408.84 and 292.98 is: 405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.74 : 408.84 = 292.98 : x
  2. Step 2: Convert to fraction form
    295.74/408.84 = 292.98/x
  3. Step 3: Cross multiply
    295.74x = 408.84 × 292.98
  4. Step 4: Simplify right side
    295.74x = 119,781.94
  5. Step 5: Solve for x
    x = 119,781.94/295.74
  6. Step 6: Final answer
    x = 405.02

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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.