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Finding the Fourth Proportional to 313.39, 431.40 and 271.70

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Solution

The fourth proportional to 313.39, 431.40 and 271.70 is: 374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.39 : 431.40 = 271.70 : x
  2. Step 2: Convert to fraction form
    313.39/431.40 = 271.70/x
  3. Step 3: Cross multiply
    313.39x = 431.40 × 271.70
  4. Step 4: Simplify right side
    313.39x = 117,211.38
  5. Step 5: Solve for x
    x = 117,211.38/313.39
  6. Step 6: Final answer
    x = 374.01

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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.