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Finding the Fourth Proportional to 338.47, 507.69 and 122.02

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Solution

The fourth proportional to 338.47, 507.69 and 122.02 is: 183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.47 : 507.69 = 122.02 : x
  2. Step 2: Convert to fraction form
    338.47/507.69 = 122.02/x
  3. Step 3: Cross multiply
    338.47x = 507.69 × 122.02
  4. Step 4: Simplify right side
    338.47x = 61,948.33
  5. Step 5: Solve for x
    x = 61,948.33/338.47
  6. Step 6: Final answer
    x = 183.02

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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.