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Finding the Fourth Proportional to 312.95, 431.45 and 202.22

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Solution

The fourth proportional to 312.95, 431.45 and 202.22 is: 278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.95 : 431.45 = 202.22 : x
  2. Step 2: Convert to fraction form
    312.95/431.45 = 202.22/x
  3. Step 3: Cross multiply
    312.95x = 431.45 × 202.22
  4. Step 4: Simplify right side
    312.95x = 87,247.82
  5. Step 5: Solve for x
    x = 87,247.82/312.95
  6. Step 6: Final answer
    x = 278.79

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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.