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Finding the Fourth Proportional to 633.90, 951 and 268.71

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Solution

The fourth proportional to 633.90, 951 and 268.71 is: 403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.90 : 951 = 268.71 : x
  2. Step 2: Convert to fraction form
    633.90/951 = 268.71/x
  3. Step 3: Cross multiply
    633.90x = 951 × 268.71
  4. Step 4: Simplify right side
    633.90x = 255,543.21
  5. Step 5: Solve for x
    x = 255,543.21/633.90
  6. Step 6: Final answer
    x = 403.13

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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.