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Finding the Fourth Proportional to 431.37, 647.33 and 157.46

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Solution

The fourth proportional to 431.37, 647.33 and 157.46 is: 236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.37 : 647.33 = 157.46 : x
  2. Step 2: Convert to fraction form
    431.37/647.33 = 157.46/x
  3. Step 3: Cross multiply
    431.37x = 647.33 × 157.46
  4. Step 4: Simplify right side
    431.37x = 101,924.56
  5. Step 5: Solve for x
    x = 101,924.56/431.37
  6. Step 6: Final answer
    x = 236.28

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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.