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Finding the Fourth Proportional to 322.57, 480.56 and 307.09

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Solution

The fourth proportional to 322.57, 480.56 and 307.09 is: 457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.57 : 480.56 = 307.09 : x
  2. Step 2: Convert to fraction form
    322.57/480.56 = 307.09/x
  3. Step 3: Cross multiply
    322.57x = 480.56 × 307.09
  4. Step 4: Simplify right side
    322.57x = 147,575.17
  5. Step 5: Solve for x
    x = 147,575.17/322.57
  6. Step 6: Final answer
    x = 457.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.