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Finding the Fourth Proportional to 307.70, 424.43 and 197.00

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Solution

The fourth proportional to 307.70, 424.43 and 197.00 is: 271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.70 : 424.43 = 197.00 : x
  2. Step 2: Convert to fraction form
    307.70/424.43 = 197.00/x
  3. Step 3: Cross multiply
    307.70x = 424.43 × 197.00
  4. Step 4: Simplify right side
    307.70x = 83,613.28
  5. Step 5: Solve for x
    x = 83,613.28/307.70
  6. Step 6: Final answer
    x = 271.73

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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.