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Finding the Fourth Proportional to 295.95, 410.31 and 279.55

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Solution

The fourth proportional to 295.95, 410.31 and 279.55 is: 387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.95 : 410.31 = 279.55 : x
  2. Step 2: Convert to fraction form
    295.95/410.31 = 279.55/x
  3. Step 3: Cross multiply
    295.95x = 410.31 × 279.55
  4. Step 4: Simplify right side
    295.95x = 114,702.16
  5. Step 5: Solve for x
    x = 114,702.16/295.95
  6. Step 6: Final answer
    x = 387.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.