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Finding the Fourth Proportional to 313.66, 432.72 and 197.20

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Solution

The fourth proportional to 313.66, 432.72 and 197.20 is: 272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.66 : 432.72 = 197.20 : x
  2. Step 2: Convert to fraction form
    313.66/432.72 = 197.20/x
  3. Step 3: Cross multiply
    313.66x = 432.72 × 197.20
  4. Step 4: Simplify right side
    313.66x = 85,332.38
  5. Step 5: Solve for x
    x = 85,332.38/313.66
  6. Step 6: Final answer
    x = 272.05

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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.