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Finding the Fourth Proportional to 632.35, 948.65 and 199.41

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Solution

The fourth proportional to 632.35, 948.65 and 199.41 is: 299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.35 : 948.65 = 199.41 : x
  2. Step 2: Convert to fraction form
    632.35/948.65 = 199.41/x
  3. Step 3: Cross multiply
    632.35x = 948.65 × 199.41
  4. Step 4: Simplify right side
    632.35x = 189,165.74
  5. Step 5: Solve for x
    x = 189,165.74/632.35
  6. Step 6: Final answer
    x = 299.15

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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.