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Finding the Fourth Proportional to 312.70, 471.46 and 271.93

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Solution

The fourth proportional to 312.70, 471.46 and 271.93 is: 409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.70 : 471.46 = 271.93 : x
  2. Step 2: Convert to fraction form
    312.70/471.46 = 271.93/x
  3. Step 3: Cross multiply
    312.70x = 471.46 × 271.93
  4. Step 4: Simplify right side
    312.70x = 128,204.12
  5. Step 5: Solve for x
    x = 128,204.12/312.70
  6. Step 6: Final answer
    x = 409.99

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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.