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Finding the Fourth Proportional to 316.46, 434.40 and 291.86

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Solution

The fourth proportional to 316.46, 434.40 and 291.86 is: 400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.46 : 434.40 = 291.86 : x
  2. Step 2: Convert to fraction form
    316.46/434.40 = 291.86/x
  3. Step 3: Cross multiply
    316.46x = 434.40 × 291.86
  4. Step 4: Simplify right side
    316.46x = 126,783.98
  5. Step 5: Solve for x
    x = 126,783.98/316.46
  6. Step 6: Final answer
    x = 400.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.