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Finding the Fourth Proportional to 632.15, 948.37 and 199.30

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Solution

The fourth proportional to 632.15, 948.37 and 199.30 is: 299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.15 : 948.37 = 199.30 : x
  2. Step 2: Convert to fraction form
    632.15/948.37 = 199.30/x
  3. Step 3: Cross multiply
    632.15x = 948.37 × 199.30
  4. Step 4: Simplify right side
    632.15x = 189,010.14
  5. Step 5: Solve for x
    x = 189,010.14/632.15
  6. Step 6: Final answer
    x = 299.00

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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.