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Finding the Fourth Proportional to 237.20, 357.74 and 237.20

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Solution

The fourth proportional to 237.20, 357.74 and 237.20 is: 357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.20 : 357.74 = 237.20 : x
  2. Step 2: Convert to fraction form
    237.20/357.74 = 237.20/x
  3. Step 3: Cross multiply
    237.20x = 357.74 × 237.20
  4. Step 4: Simplify right side
    237.20x = 84,855.93
  5. Step 5: Solve for x
    x = 84,855.93/237.20
  6. Step 6: Final answer
    x = 357.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.