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Finding the Fourth Proportional to 316.38, 439.62 and 313.01

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Solution

The fourth proportional to 316.38, 439.62 and 313.01 is: 434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.38 : 439.62 = 313.01 : x
  2. Step 2: Convert to fraction form
    316.38/439.62 = 313.01/x
  3. Step 3: Cross multiply
    316.38x = 439.62 × 313.01
  4. Step 4: Simplify right side
    316.38x = 137,605.46
  5. Step 5: Solve for x
    x = 137,605.46/316.38
  6. Step 6: Final answer
    x = 434.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.