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Finding the Fourth Proportional to 322.48, 444.72 and 278.56

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Solution

The fourth proportional to 322.48, 444.72 and 278.56 is: 384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.48 : 444.72 = 278.56 : x
  2. Step 2: Convert to fraction form
    322.48/444.72 = 278.56/x
  3. Step 3: Cross multiply
    322.48x = 444.72 × 278.56
  4. Step 4: Simplify right side
    322.48x = 123,881.20
  5. Step 5: Solve for x
    x = 123,881.20/322.48
  6. Step 6: Final answer
    x = 384.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.