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Finding the Fourth Proportional to 410.23, 614.28 and 319.41

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Solution

The fourth proportional to 410.23, 614.28 and 319.41 is: 478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.23 : 614.28 = 319.41 : x
  2. Step 2: Convert to fraction form
    410.23/614.28 = 319.41/x
  3. Step 3: Cross multiply
    410.23x = 614.28 × 319.41
  4. Step 4: Simplify right side
    410.23x = 196,208.37
  5. Step 5: Solve for x
    x = 196,208.37/410.23
  6. Step 6: Final answer
    x = 478.29

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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.