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Finding the Fourth Proportional to 237.46, 357.22 and 146.20

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Solution

The fourth proportional to 237.46, 357.22 and 146.20 is: 219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.46 : 357.22 = 146.20 : x
  2. Step 2: Convert to fraction form
    237.46/357.22 = 146.20/x
  3. Step 3: Cross multiply
    237.46x = 357.22 × 146.20
  4. Step 4: Simplify right side
    237.46x = 52,225.56
  5. Step 5: Solve for x
    x = 52,225.56/237.46
  6. Step 6: Final answer
    x = 219.93

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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.