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Finding the Fourth Proportional to 478.29, 659.95 and 281.76

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Solution

The fourth proportional to 478.29, 659.95 and 281.76 is: 388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.29 : 659.95 = 281.76 : x
  2. Step 2: Convert to fraction form
    478.29/659.95 = 281.76/x
  3. Step 3: Cross multiply
    478.29x = 659.95 × 281.76
  4. Step 4: Simplify right side
    478.29x = 185,947.51
  5. Step 5: Solve for x
    x = 185,947.51/478.29
  6. Step 6: Final answer
    x = 388.78

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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.