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Finding the Fourth Proportional to 505.72, 757.36 and 367.21

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Solution

The fourth proportional to 505.72, 757.36 and 367.21 is: 549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.72 : 757.36 = 367.21 : x
  2. Step 2: Convert to fraction form
    505.72/757.36 = 367.21/x
  3. Step 3: Cross multiply
    505.72x = 757.36 × 367.21
  4. Step 4: Simplify right side
    505.72x = 278,110.17
  5. Step 5: Solve for x
    x = 278,110.17/505.72
  6. Step 6: Final answer
    x = 549.93

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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.