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Finding the Fourth Proportional to 478.74, 660.75 and 279.56

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Solution

The fourth proportional to 478.74, 660.75 and 279.56 is: 385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.74 : 660.75 = 279.56 : x
  2. Step 2: Convert to fraction form
    478.74/660.75 = 279.56/x
  3. Step 3: Cross multiply
    478.74x = 660.75 × 279.56
  4. Step 4: Simplify right side
    478.74x = 184,715.97
  5. Step 5: Solve for x
    x = 184,715.97/478.74
  6. Step 6: Final answer
    x = 385.84

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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.