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Finding the Fourth Proportional to 370.05, 552.83 and 238.98

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Solution

The fourth proportional to 370.05, 552.83 and 238.98 is: 357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.05 : 552.83 = 238.98 : x
  2. Step 2: Convert to fraction form
    370.05/552.83 = 238.98/x
  3. Step 3: Cross multiply
    370.05x = 552.83 × 238.98
  4. Step 4: Simplify right side
    370.05x = 132,115.31
  5. Step 5: Solve for x
    x = 132,115.31/370.05
  6. Step 6: Final answer
    x = 357.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.