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Finding the Fourth Proportional to 316.12, 473.10 and 279.40

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Solution

The fourth proportional to 316.12, 473.10 and 279.40 is: 418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.12 : 473.10 = 279.40 : x
  2. Step 2: Convert to fraction form
    316.12/473.10 = 279.40/x
  3. Step 3: Cross multiply
    316.12x = 473.10 × 279.40
  4. Step 4: Simplify right side
    316.12x = 132,184.14
  5. Step 5: Solve for x
    x = 132,184.14/316.12
  6. Step 6: Final answer
    x = 418.15

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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.