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Finding the Fourth Proportional to 478.29, 659.71 and 353.96

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Solution

The fourth proportional to 478.29, 659.71 and 353.96 is: 488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.29 : 659.71 = 353.96 : x
  2. Step 2: Convert to fraction form
    478.29/659.71 = 353.96/x
  3. Step 3: Cross multiply
    478.29x = 659.71 × 353.96
  4. Step 4: Simplify right side
    478.29x = 233,510.95
  5. Step 5: Solve for x
    x = 233,510.95/478.29
  6. Step 6: Final answer
    x = 488.22

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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.