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Finding the Fourth Proportional to 292.64, 404.00 and 213.87

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Solution

The fourth proportional to 292.64, 404.00 and 213.87 is: 295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.64 : 404.00 = 213.87 : x
  2. Step 2: Convert to fraction form
    292.64/404.00 = 213.87/x
  3. Step 3: Cross multiply
    292.64x = 404.00 × 213.87
  4. Step 4: Simplify right side
    292.64x = 86,402.41
  5. Step 5: Solve for x
    x = 86,402.41/292.64
  6. Step 6: Final answer
    x = 295.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.