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Finding the Fourth Proportional to 338.29, 507.15 and 122.02

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Solution

The fourth proportional to 338.29, 507.15 and 122.02 is: 182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.29 : 507.15 = 122.02 : x
  2. Step 2: Convert to fraction form
    338.29/507.15 = 122.02/x
  3. Step 3: Cross multiply
    338.29x = 507.15 × 122.02
  4. Step 4: Simplify right side
    338.29x = 61,881.18
  5. Step 5: Solve for x
    x = 61,881.18/338.29
  6. Step 6: Final answer
    x = 182.92

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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.