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Finding the Fourth Proportional to 237.87, 356.91 and 156.74

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Solution

The fourth proportional to 237.87, 356.91 and 156.74 is: 235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.87 : 356.91 = 156.74 : x
  2. Step 2: Convert to fraction form
    237.87/356.91 = 156.74/x
  3. Step 3: Cross multiply
    237.87x = 356.91 × 156.74
  4. Step 4: Simplify right side
    237.87x = 55,939.70
  5. Step 5: Solve for x
    x = 55,939.70/237.87
  6. Step 6: Final answer
    x = 235.17

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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.