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Finding the Fourth Proportional to 316.94, 475.28 and 143.72

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Solution

The fourth proportional to 316.94, 475.28 and 143.72 is: 215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.94 : 475.28 = 143.72 : x
  2. Step 2: Convert to fraction form
    316.94/475.28 = 143.72/x
  3. Step 3: Cross multiply
    316.94x = 475.28 × 143.72
  4. Step 4: Simplify right side
    316.94x = 68,308.74
  5. Step 5: Solve for x
    x = 68,308.74/316.94
  6. Step 6: Final answer
    x = 215.53

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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.