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Finding the Fourth Proportional to 338.89, 507.76 and 184.45

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Solution

The fourth proportional to 338.89, 507.76 and 184.45 is: 276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.89 : 507.76 = 184.45 : x
  2. Step 2: Convert to fraction form
    338.89/507.76 = 184.45/x
  3. Step 3: Cross multiply
    338.89x = 507.76 × 184.45
  4. Step 4: Simplify right side
    338.89x = 93,656.33
  5. Step 5: Solve for x
    x = 93,656.33/338.89
  6. Step 6: Final answer
    x = 276.36

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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.