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Finding the Fourth Proportional to 399.92, 602.23 and 349.17

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Solution

The fourth proportional to 399.92, 602.23 and 349.17 is: 525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.92 : 602.23 = 349.17 : x
  2. Step 2: Convert to fraction form
    399.92/602.23 = 349.17/x
  3. Step 3: Cross multiply
    399.92x = 602.23 × 349.17
  4. Step 4: Simplify right side
    399.92x = 210,281.56
  5. Step 5: Solve for x
    x = 210,281.56/399.92
  6. Step 6: Final answer
    x = 525.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.