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Finding the Fourth Proportional to 321.61, 482.42 and 78.14

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Solution

The fourth proportional to 321.61, 482.42 and 78.14 is: 117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.61 : 482.42 = 78.14 : x
  2. Step 2: Convert to fraction form
    321.61/482.42 = 78.14/x
  3. Step 3: Cross multiply
    321.61x = 482.42 × 78.14
  4. Step 4: Simplify right side
    321.61x = 37,696.30
  5. Step 5: Solve for x
    x = 37,696.30/321.61
  6. Step 6: Final answer
    x = 117.21

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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.