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Finding the Fourth Proportional to 400.36, 602.78 and 292.88

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Solution

The fourth proportional to 400.36, 602.78 and 292.88 is: 440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.36 : 602.78 = 292.88 : x
  2. Step 2: Convert to fraction form
    400.36/602.78 = 292.88/x
  3. Step 3: Cross multiply
    400.36x = 602.78 × 292.88
  4. Step 4: Simplify right side
    400.36x = 176,542.21
  5. Step 5: Solve for x
    x = 176,542.21/400.36
  6. Step 6: Final answer
    x = 440.96

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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.