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Finding the Fourth Proportional to 495.87, 743.81 and 207.51

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Solution

The fourth proportional to 495.87, 743.81 and 207.51 is: 311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.87 : 743.81 = 207.51 : x
  2. Step 2: Convert to fraction form
    495.87/743.81 = 207.51/x
  3. Step 3: Cross multiply
    495.87x = 743.81 × 207.51
  4. Step 4: Simplify right side
    495.87x = 154,346.98
  5. Step 5: Solve for x
    x = 154,346.98/495.87
  6. Step 6: Final answer
    x = 311.27

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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.