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Finding the Fourth Proportional to 244.42, 366.60 and 82.10

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Solution

The fourth proportional to 244.42, 366.60 and 82.10 is: 123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.42 : 366.60 = 82.10 : x
  2. Step 2: Convert to fraction form
    244.42/366.60 = 82.10/x
  3. Step 3: Cross multiply
    244.42x = 366.60 × 82.10
  4. Step 4: Simplify right side
    244.42x = 30,097.86
  5. Step 5: Solve for x
    x = 30,097.86/244.42
  6. Step 6: Final answer
    x = 123.14

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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.