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Finding the Fourth Proportional to 316.06, 473.28 and 270.70

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Solution

The fourth proportional to 316.06, 473.28 and 270.70 is: 405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.06 : 473.28 = 270.70 : x
  2. Step 2: Convert to fraction form
    316.06/473.28 = 270.70/x
  3. Step 3: Cross multiply
    316.06x = 473.28 × 270.70
  4. Step 4: Simplify right side
    316.06x = 128,116.90
  5. Step 5: Solve for x
    x = 128,116.90/316.06
  6. Step 6: Final answer
    x = 405.36

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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.