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Finding the Fourth Proportional to 292.59, 403.92 and 284.40

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Solution

The fourth proportional to 292.59, 403.92 and 284.40 is: 392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.59 : 403.92 = 284.40 : x
  2. Step 2: Convert to fraction form
    292.59/403.92 = 284.40/x
  3. Step 3: Cross multiply
    292.59x = 403.92 × 284.40
  4. Step 4: Simplify right side
    292.59x = 114,874.85
  5. Step 5: Solve for x
    x = 114,874.85/292.59
  6. Step 6: Final answer
    x = 392.61

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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.