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Finding the Fourth Proportional to 495.42, 742.78 and 349.28

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Solution

The fourth proportional to 495.42, 742.78 and 349.28 is: 523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.42 : 742.78 = 349.28 : x
  2. Step 2: Convert to fraction form
    495.42/742.78 = 349.28/x
  3. Step 3: Cross multiply
    495.42x = 742.78 × 349.28
  4. Step 4: Simplify right side
    495.42x = 259,438.20
  5. Step 5: Solve for x
    x = 259,438.20/495.42
  6. Step 6: Final answer
    x = 523.67

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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.