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Finding the Fourth Proportional to 431.87, 647.71 and 157.89

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Solution

The fourth proportional to 431.87, 647.71 and 157.89 is: 236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.87 : 647.71 = 157.89 : x
  2. Step 2: Convert to fraction form
    431.87/647.71 = 157.89/x
  3. Step 3: Cross multiply
    431.87x = 647.71 × 157.89
  4. Step 4: Simplify right side
    431.87x = 102,266.93
  5. Step 5: Solve for x
    x = 102,266.93/431.87
  6. Step 6: Final answer
    x = 236.80

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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.