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Finding the Fourth Proportional to 307.66, 424.62 and 189.70

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Solution

The fourth proportional to 307.66, 424.62 and 189.70 is: 261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.66 : 424.62 = 189.70 : x
  2. Step 2: Convert to fraction form
    307.66/424.62 = 189.70/x
  3. Step 3: Cross multiply
    307.66x = 424.62 × 189.70
  4. Step 4: Simplify right side
    307.66x = 80,550.41
  5. Step 5: Solve for x
    x = 80,550.41/307.66
  6. Step 6: Final answer
    x = 261.82

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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.