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Finding the Fourth Proportional to 367.34, 507.57 and 320.54

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Solution

The fourth proportional to 367.34, 507.57 and 320.54 is: 442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.34 : 507.57 = 320.54 : x
  2. Step 2: Convert to fraction form
    367.34/507.57 = 320.54/x
  3. Step 3: Cross multiply
    367.34x = 507.57 × 320.54
  4. Step 4: Simplify right side
    367.34x = 162,696.49
  5. Step 5: Solve for x
    x = 162,696.49/367.34
  6. Step 6: Final answer
    x = 442.90

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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.