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Finding the Fourth Proportional to 303.60, 456.06 and 217.13

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Solution

The fourth proportional to 303.60, 456.06 and 217.13 is: 326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.60 : 456.06 = 217.13 : x
  2. Step 2: Convert to fraction form
    303.60/456.06 = 217.13/x
  3. Step 3: Cross multiply
    303.60x = 456.06 × 217.13
  4. Step 4: Simplify right side
    303.60x = 99,025.41
  5. Step 5: Solve for x
    x = 99,025.41/303.60
  6. Step 6: Final answer
    x = 326.17

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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.