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Finding the Fourth Proportional to 431.74, 647.70 and 157.83

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Solution

The fourth proportional to 431.74, 647.70 and 157.83 is: 236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.74 : 647.70 = 157.83 : x
  2. Step 2: Convert to fraction form
    431.74/647.70 = 157.83/x
  3. Step 3: Cross multiply
    431.74x = 647.70 × 157.83
  4. Step 4: Simplify right side
    431.74x = 102,225.28
  5. Step 5: Solve for x
    x = 102,225.28/431.74
  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.