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Finding the Fourth Proportional to 367.42, 507.09 and 220.02

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Solution

The fourth proportional to 367.42, 507.09 and 220.02 is: 303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.42 : 507.09 = 220.02 : x
  2. Step 2: Convert to fraction form
    367.42/507.09 = 220.02/x
  3. Step 3: Cross multiply
    367.42x = 507.09 × 220.02
  4. Step 4: Simplify right side
    367.42x = 111,569.94
  5. Step 5: Solve for x
    x = 111,569.94/367.42
  6. Step 6: Final answer
    x = 303.66

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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.