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Finding the Fourth Proportional to 632.51, 948.61 and 267.11

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Solution

The fourth proportional to 632.51, 948.61 and 267.11 is: 400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.51 : 948.61 = 267.11 : x
  2. Step 2: Convert to fraction form
    632.51/948.61 = 267.11/x
  3. Step 3: Cross multiply
    632.51x = 948.61 × 267.11
  4. Step 4: Simplify right side
    632.51x = 253,383.22
  5. Step 5: Solve for x
    x = 253,383.22/632.51
  6. Step 6: Final answer
    x = 400.60

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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.