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Finding the Fourth Proportional to 632.19, 948.29 and 199.38

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Solution

The fourth proportional to 632.19, 948.29 and 199.38 is: 299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.19 : 948.29 = 199.38 : x
  2. Step 2: Convert to fraction form
    632.19/948.29 = 199.38/x
  3. Step 3: Cross multiply
    632.19x = 948.29 × 199.38
  4. Step 4: Simplify right side
    632.19x = 189,069.06
  5. Step 5: Solve for x
    x = 189,069.06/632.19
  6. Step 6: Final answer
    x = 299.07

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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.