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Finding the Fourth Proportional to 237.56, 356.34 and 156.91

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Solution

The fourth proportional to 237.56, 356.34 and 156.91 is: 235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.56 : 356.34 = 156.91 : x
  2. Step 2: Convert to fraction form
    237.56/356.34 = 156.91/x
  3. Step 3: Cross multiply
    237.56x = 356.34 × 156.91
  4. Step 4: Simplify right side
    237.56x = 55,913.31
  5. Step 5: Solve for x
    x = 55,913.31/237.56
  6. Step 6: Final answer
    x = 235.37

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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.