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Finding the Fourth Proportional to 316.31, 473.97 and 170.06

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Solution

The fourth proportional to 316.31, 473.97 and 170.06 is: 254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.31 : 473.97 = 170.06 : x
  2. Step 2: Convert to fraction form
    316.31/473.97 = 170.06/x
  3. Step 3: Cross multiply
    316.31x = 473.97 × 170.06
  4. Step 4: Simplify right side
    316.31x = 80,603.34
  5. Step 5: Solve for x
    x = 80,603.34/316.31
  6. Step 6: Final answer
    x = 254.82

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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.