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Finding the Fourth Proportional to 237.50, 356.29 and 120.43

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Solution

The fourth proportional to 237.50, 356.29 and 120.43 is: 180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.50 : 356.29 = 120.43 : x
  2. Step 2: Convert to fraction form
    237.50/356.29 = 120.43/x
  3. Step 3: Cross multiply
    237.50x = 356.29 × 120.43
  4. Step 4: Simplify right side
    237.50x = 42,908.00
  5. Step 5: Solve for x
    x = 42,908.00/237.50
  6. Step 6: Final answer
    x = 180.67

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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.