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Finding the Fourth Proportional to 632.50, 948.66 and 199.66

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Solution

The fourth proportional to 632.50, 948.66 and 199.66 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.50 : 948.66 = 199.66 : x
  2. Step 2: Convert to fraction form
    632.50/948.66 = 199.66/x
  3. Step 3: Cross multiply
    632.50x = 948.66 × 199.66
  4. Step 4: Simplify right side
    632.50x = 189,409.46
  5. Step 5: Solve for x
    x = 189,409.46/632.50
  6. Step 6: Final answer
    x = 299.46

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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.