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Finding the Fourth Proportional to 632.78, 949.22 and 243.10

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Solution

The fourth proportional to 632.78, 949.22 and 243.10 is: 364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.78 : 949.22 = 243.10 : x
  2. Step 2: Convert to fraction form
    632.78/949.22 = 243.10/x
  3. Step 3: Cross multiply
    632.78x = 949.22 × 243.10
  4. Step 4: Simplify right side
    632.78x = 230,756.26
  5. Step 5: Solve for x
    x = 230,756.26/632.78
  6. Step 6: Final answer
    x = 364.67

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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.