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Finding the Fourth Proportional to 307.72, 424.69 and 189.66

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Solution

The fourth proportional to 307.72, 424.69 and 189.66 is: 261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.72 : 424.69 = 189.66 : x
  2. Step 2: Convert to fraction form
    307.72/424.69 = 189.66/x
  3. Step 3: Cross multiply
    307.72x = 424.69 × 189.66
  4. Step 4: Simplify right side
    307.72x = 80,547.82
  5. Step 5: Solve for x
    x = 80,547.82/307.72
  6. Step 6: Final answer
    x = 261.76

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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.