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Finding the Fourth Proportional to 307.66, 424.54 and 189.61

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Solution

The fourth proportional to 307.66, 424.54 and 189.61 is: 261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.66 : 424.54 = 189.61 : x
  2. Step 2: Convert to fraction form
    307.66/424.54 = 189.61/x
  3. Step 3: Cross multiply
    307.66x = 424.54 × 189.61
  4. Step 4: Simplify right side
    307.66x = 80,497.03
  5. Step 5: Solve for x
    x = 80,497.03/307.66
  6. Step 6: Final answer
    x = 261.64

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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.