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Finding the Fourth Proportional to 319.04, 475.79 and 278.14

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Solution

The fourth proportional to 319.04, 475.79 and 278.14 is: 414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.04 : 475.79 = 278.14 : x
  2. Step 2: Convert to fraction form
    319.04/475.79 = 278.14/x
  3. Step 3: Cross multiply
    319.04x = 475.79 × 278.14
  4. Step 4: Simplify right side
    319.04x = 132,335.74
  5. Step 5: Solve for x
    x = 132,335.74/319.04
  6. Step 6: Final answer
    x = 414.79

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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.