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Finding the Fourth Proportional to 367.05, 507.24 and 354.72

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Solution

The fourth proportional to 367.05, 507.24 and 354.72 is: 490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.05 : 507.24 = 354.72 : x
  2. Step 2: Convert to fraction form
    367.05/507.24 = 354.72/x
  3. Step 3: Cross multiply
    367.05x = 507.24 × 354.72
  4. Step 4: Simplify right side
    367.05x = 179,928.17
  5. Step 5: Solve for x
    x = 179,928.17/367.05
  6. Step 6: Final answer
    x = 490.20

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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.