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Finding the Fourth Proportional to 313.48, 432.42 and 197.10

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Solution

The fourth proportional to 313.48, 432.42 and 197.10 is: 271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.48 : 432.42 = 197.10 : x
  2. Step 2: Convert to fraction form
    313.48/432.42 = 197.10/x
  3. Step 3: Cross multiply
    313.48x = 432.42 × 197.10
  4. Step 4: Simplify right side
    313.48x = 85,229.98
  5. Step 5: Solve for x
    x = 85,229.98/313.48
  6. Step 6: Final answer
    x = 271.88

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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.