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Finding the Fourth Proportional to 316.05, 473.67 and 243.76

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Solution

The fourth proportional to 316.05, 473.67 and 243.76 is: 365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.05 : 473.67 = 243.76 : x
  2. Step 2: Convert to fraction form
    316.05/473.67 = 243.76/x
  3. Step 3: Cross multiply
    316.05x = 473.67 × 243.76
  4. Step 4: Simplify right side
    316.05x = 115,460.62
  5. Step 5: Solve for x
    x = 115,460.62/316.05
  6. Step 6: Final answer
    x = 365.32

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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.