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Finding the Fourth Proportional to 295.83, 410.14 and 279.43

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Solution

The fourth proportional to 295.83, 410.14 and 279.43 is: 387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.83 : 410.14 = 279.43 : x
  2. Step 2: Convert to fraction form
    295.83/410.14 = 279.43/x
  3. Step 3: Cross multiply
    295.83x = 410.14 × 279.43
  4. Step 4: Simplify right side
    295.83x = 114,605.42
  5. Step 5: Solve for x
    x = 114,605.42/295.83
  6. Step 6: Final answer
    x = 387.40

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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.