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Finding the Fourth Proportional to 322.72, 483.28 and 307.91

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Solution

The fourth proportional to 322.72, 483.28 and 307.91 is: 461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.72 : 483.28 = 307.91 : x
  2. Step 2: Convert to fraction form
    322.72/483.28 = 307.91/x
  3. Step 3: Cross multiply
    322.72x = 483.28 × 307.91
  4. Step 4: Simplify right side
    322.72x = 148,807.18
  5. Step 5: Solve for x
    x = 148,807.18/322.72
  6. Step 6: Final answer
    x = 461.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.