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Finding the Fourth Proportional to 292.74, 400.73 and 283.42

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Solution

The fourth proportional to 292.74, 400.73 and 283.42 is: 387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.74 : 400.73 = 283.42 : x
  2. Step 2: Convert to fraction form
    292.74/400.73 = 283.42/x
  3. Step 3: Cross multiply
    292.74x = 400.73 × 283.42
  4. Step 4: Simplify right side
    292.74x = 113,574.90
  5. Step 5: Solve for x
    x = 113,574.90/292.74
  6. Step 6: Final answer
    x = 387.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.