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Finding the Fourth Proportional to 262.55, 362.15 and 212.78

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Solution

The fourth proportional to 262.55, 362.15 and 212.78 is: 293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.55 : 362.15 = 212.78 : x
  2. Step 2: Convert to fraction form
    262.55/362.15 = 212.78/x
  3. Step 3: Cross multiply
    262.55x = 362.15 × 212.78
  4. Step 4: Simplify right side
    262.55x = 77,056.28
  5. Step 5: Solve for x
    x = 77,056.28/262.55
  6. Step 6: Final answer
    x = 293.49

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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.