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Finding the Fourth Proportional to 338.30, 507.14 and 121.72

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Solution

The fourth proportional to 338.30, 507.14 and 121.72 is: 182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.30 : 507.14 = 121.72 : x
  2. Step 2: Convert to fraction form
    338.30/507.14 = 121.72/x
  3. Step 3: Cross multiply
    338.30x = 507.14 × 121.72
  4. Step 4: Simplify right side
    338.30x = 61,728.47
  5. Step 5: Solve for x
    x = 61,728.47/338.30
  6. Step 6: Final answer
    x = 182.47

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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.