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Finding the Fourth Proportional to 633.36, 950.15 and 286.82

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Solution

The fourth proportional to 633.36, 950.15 and 286.82 is: 430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.36 : 950.15 = 286.82 : x
  2. Step 2: Convert to fraction form
    633.36/950.15 = 286.82/x
  3. Step 3: Cross multiply
    633.36x = 950.15 × 286.82
  4. Step 4: Simplify right side
    633.36x = 272,522.02
  5. Step 5: Solve for x
    x = 272,522.02/633.36
  6. Step 6: Final answer
    x = 430.28

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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.