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Finding the Fourth Proportional to 474.29, 710.90 and 217.25

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Solution

The fourth proportional to 474.29, 710.90 and 217.25 is: 325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.29 : 710.90 = 217.25 : x
  2. Step 2: Convert to fraction form
    474.29/710.90 = 217.25/x
  3. Step 3: Cross multiply
    474.29x = 710.90 × 217.25
  4. Step 4: Simplify right side
    474.29x = 154,441.94
  5. Step 5: Solve for x
    x = 154,441.94/474.29
  6. Step 6: Final answer
    x = 325.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.