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Finding the Fourth Proportional to 338.10, 507.92 and 291.97

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Solution

The fourth proportional to 338.10, 507.92 and 291.97 is: 438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.10 : 507.92 = 291.97 : x
  2. Step 2: Convert to fraction form
    338.10/507.92 = 291.97/x
  3. Step 3: Cross multiply
    338.10x = 507.92 × 291.97
  4. Step 4: Simplify right side
    338.10x = 148,297.40
  5. Step 5: Solve for x
    x = 148,297.40/338.10
  6. Step 6: Final answer
    x = 438.62

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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.