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Finding the Fourth Proportional to 307.40, 424.16 and 196.82

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Solution

The fourth proportional to 307.40, 424.16 and 196.82 is: 271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.40 : 424.16 = 196.82 : x
  2. Step 2: Convert to fraction form
    307.40/424.16 = 196.82/x
  3. Step 3: Cross multiply
    307.40x = 424.16 × 196.82
  4. Step 4: Simplify right side
    307.40x = 83,483.17
  5. Step 5: Solve for x
    x = 83,483.17/307.40
  6. Step 6: Final answer
    x = 271.58

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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.