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Finding the Fourth Proportional to 431.81, 647.78 and 157.84

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Solution

The fourth proportional to 431.81, 647.78 and 157.84 is: 236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.81 : 647.78 = 157.84 : x
  2. Step 2: Convert to fraction form
    431.81/647.78 = 157.84/x
  3. Step 3: Cross multiply
    431.81x = 647.78 × 157.84
  4. Step 4: Simplify right side
    431.81x = 102,243.98
  5. Step 5: Solve for x
    x = 102,243.98/431.81
  6. Step 6: Final answer
    x = 236.78

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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.