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Finding the Fourth Proportional to 312.35, 469.02 and 271.44

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Solution

The fourth proportional to 312.35, 469.02 and 271.44 is: 407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.35 : 469.02 = 271.44 : x
  2. Step 2: Convert to fraction form
    312.35/469.02 = 271.44/x
  3. Step 3: Cross multiply
    312.35x = 469.02 × 271.44
  4. Step 4: Simplify right side
    312.35x = 127,310.79
  5. Step 5: Solve for x
    x = 127,310.79/312.35
  6. Step 6: Final answer
    x = 407.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.