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Finding the Fourth Proportional to 478.23, 659.70 and 281.62

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Solution

The fourth proportional to 478.23, 659.70 and 281.62 is: 388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.23 : 659.70 = 281.62 : x
  2. Step 2: Convert to fraction form
    478.23/659.70 = 281.62/x
  3. Step 3: Cross multiply
    478.23x = 659.70 × 281.62
  4. Step 4: Simplify right side
    478.23x = 185,785.54
  5. Step 5: Solve for x
    x = 185,785.54/478.23
  6. Step 6: Final answer
    x = 388.49

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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.