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Finding the Fourth Proportional to 322.60, 482.82 and 318.28

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Solution

The fourth proportional to 322.60, 482.82 and 318.28 is: 476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.60 : 482.82 = 318.28 : x
  2. Step 2: Convert to fraction form
    322.60/482.82 = 318.28/x
  3. Step 3: Cross multiply
    322.60x = 482.82 × 318.28
  4. Step 4: Simplify right side
    322.60x = 153,671.95
  5. Step 5: Solve for x
    x = 153,671.95/322.60
  6. Step 6: Final answer
    x = 476.35

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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.