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Finding the Fourth Proportional to 320.47, 480.71 and 212.74

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Solution

The fourth proportional to 320.47, 480.71 and 212.74 is: 319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.47 : 480.71 = 212.74 : x
  2. Step 2: Convert to fraction form
    320.47/480.71 = 212.74/x
  3. Step 3: Cross multiply
    320.47x = 480.71 × 212.74
  4. Step 4: Simplify right side
    320.47x = 102,265.58
  5. Step 5: Solve for x
    x = 102,265.58/320.47
  6. Step 6: Final answer
    x = 319.11

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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.