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Finding the Fourth Proportional to 313.40, 433.06 and 271.82

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Solution

The fourth proportional to 313.40, 433.06 and 271.82 is: 375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.40 : 433.06 = 271.82 : x
  2. Step 2: Convert to fraction form
    313.40/433.06 = 271.82/x
  3. Step 3: Cross multiply
    313.40x = 433.06 × 271.82
  4. Step 4: Simplify right side
    313.40x = 117,711.52
  5. Step 5: Solve for x
    x = 117,711.52/313.40
  6. Step 6: Final answer
    x = 375.60

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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.