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Finding the Fourth Proportional to 319.28, 475.14 and 307.76

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Solution

The fourth proportional to 319.28, 475.14 and 307.76 is: 458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.28 : 475.14 = 307.76 : x
  2. Step 2: Convert to fraction form
    319.28/475.14 = 307.76/x
  3. Step 3: Cross multiply
    319.28x = 475.14 × 307.76
  4. Step 4: Simplify right side
    319.28x = 146,229.09
  5. Step 5: Solve for x
    x = 146,229.09/319.28
  6. Step 6: Final answer
    x = 458.00

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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.