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Finding the Fourth Proportional to 316.40, 473.96 and 207.86

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Solution

The fourth proportional to 316.40, 473.96 and 207.86 is: 311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.40 : 473.96 = 207.86 : x
  2. Step 2: Convert to fraction form
    316.40/473.96 = 207.86/x
  3. Step 3: Cross multiply
    316.40x = 473.96 × 207.86
  4. Step 4: Simplify right side
    316.40x = 98,515.48
  5. Step 5: Solve for x
    x = 98,515.48/316.40
  6. Step 6: Final answer
    x = 311.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.