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Finding the Fourth Proportional to 316.99, 472.96 and 314.56

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Solution

The fourth proportional to 316.99, 472.96 and 314.56 is: 469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.99 : 472.96 = 314.56 : x
  2. Step 2: Convert to fraction form
    316.99/472.96 = 314.56/x
  3. Step 3: Cross multiply
    316.99x = 472.96 × 314.56
  4. Step 4: Simplify right side
    316.99x = 148,774.30
  5. Step 5: Solve for x
    x = 148,774.30/316.99
  6. Step 6: Final answer
    x = 469.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.