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Finding the Fourth Proportional to 322.61, 480.60 and 307.11

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Solution

The fourth proportional to 322.61, 480.60 and 307.11 is: 457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.61 : 480.60 = 307.11 : x
  2. Step 2: Convert to fraction form
    322.61/480.60 = 307.11/x
  3. Step 3: Cross multiply
    322.61x = 480.60 × 307.11
  4. Step 4: Simplify right side
    322.61x = 147,597.07
  5. Step 5: Solve for x
    x = 147,597.07/322.61
  6. Step 6: Final answer
    x = 457.52

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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.