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Finding the Fourth Proportional to 401.92, 602.25 and 310.84

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Solution

The fourth proportional to 401.92, 602.25 and 310.84 is: 465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.92 : 602.25 = 310.84 : x
  2. Step 2: Convert to fraction form
    401.92/602.25 = 310.84/x
  3. Step 3: Cross multiply
    401.92x = 602.25 × 310.84
  4. Step 4: Simplify right side
    401.92x = 187,200.72
  5. Step 5: Solve for x
    x = 187,200.72/401.92
  6. Step 6: Final answer
    x = 465.77

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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.