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Finding the Fourth Proportional to 322.79, 480.48 and 307.85

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Solution

The fourth proportional to 322.79, 480.48 and 307.85 is: 458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.79 : 480.48 = 307.85 : x
  2. Step 2: Convert to fraction form
    322.79/480.48 = 307.85/x
  3. Step 3: Cross multiply
    322.79x = 480.48 × 307.85
  4. Step 4: Simplify right side
    322.79x = 147,913.37
  5. Step 5: Solve for x
    x = 147,913.37/322.79
  6. Step 6: Final answer
    x = 458.24

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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.