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Finding the Fourth Proportional to 312.86, 431.63 and 292.21

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Solution

The fourth proportional to 312.86, 431.63 and 292.21 is: 403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.86 : 431.63 = 292.21 : x
  2. Step 2: Convert to fraction form
    312.86/431.63 = 292.21/x
  3. Step 3: Cross multiply
    312.86x = 431.63 × 292.21
  4. Step 4: Simplify right side
    312.86x = 126,125.16
  5. Step 5: Solve for x
    x = 126,125.16/312.86
  6. Step 6: Final answer
    x = 403.13

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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.