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Finding the Fourth Proportional to 411.84, 614.40 and 402.24

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Solution

The fourth proportional to 411.84, 614.40 and 402.24 is: 600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 614.40 = 402.24 : x
  2. Step 2: Convert to fraction form
    411.84/614.40 = 402.24/x
  3. Step 3: Cross multiply
    411.84x = 614.40 × 402.24
  4. Step 4: Simplify right side
    411.84x = 247,136.26
  5. Step 5: Solve for x
    x = 247,136.26/411.84
  6. Step 6: Final answer
    x = 600.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.