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Finding the Fourth Proportional to 495.24, 742.82 and 206.47

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Solution

The fourth proportional to 495.24, 742.82 and 206.47 is: 309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.24 : 742.82 = 206.47 : x
  2. Step 2: Convert to fraction form
    495.24/742.82 = 206.47/x
  3. Step 3: Cross multiply
    495.24x = 742.82 × 206.47
  4. Step 4: Simplify right side
    495.24x = 153,370.05
  5. Step 5: Solve for x
    x = 153,370.05/495.24
  6. Step 6: Final answer
    x = 309.69

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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.