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Finding the Fourth Proportional to 295.17, 406.46 and 212.13

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Solution

The fourth proportional to 295.17, 406.46 and 212.13 is: 292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.17 : 406.46 = 212.13 : x
  2. Step 2: Convert to fraction form
    295.17/406.46 = 212.13/x
  3. Step 3: Cross multiply
    295.17x = 406.46 × 212.13
  4. Step 4: Simplify right side
    295.17x = 86,221.30
  5. Step 5: Solve for x
    x = 86,221.30/295.17
  6. Step 6: Final answer
    x = 292.11

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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.