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Finding the Fourth Proportional to 312.01, 469.86 and 271.92

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Solution

The fourth proportional to 312.01, 469.86 and 271.92 is: 409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.01 : 469.86 = 271.92 : x
  2. Step 2: Convert to fraction form
    312.01/469.86 = 271.92/x
  3. Step 3: Cross multiply
    312.01x = 469.86 × 271.92
  4. Step 4: Simplify right side
    312.01x = 127,764.33
  5. Step 5: Solve for x
    x = 127,764.33/312.01
  6. Step 6: Final answer
    x = 409.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.