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Finding the Fourth Proportional to 367.74, 507.54 and 220.38

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Solution

The fourth proportional to 367.74, 507.54 and 220.38 is: 304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.74 : 507.54 = 220.38 : x
  2. Step 2: Convert to fraction form
    367.74/507.54 = 220.38/x
  3. Step 3: Cross multiply
    367.74x = 507.54 × 220.38
  4. Step 4: Simplify right side
    367.74x = 111,851.67
  5. Step 5: Solve for x
    x = 111,851.67/367.74
  6. Step 6: Final answer
    x = 304.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.