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Finding the Fourth Proportional to 317.81, 437.87 and 262.23

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Solution

The fourth proportional to 317.81, 437.87 and 262.23 is: 361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.81 : 437.87 = 262.23 : x
  2. Step 2: Convert to fraction form
    317.81/437.87 = 262.23/x
  3. Step 3: Cross multiply
    317.81x = 437.87 × 262.23
  4. Step 4: Simplify right side
    317.81x = 114,822.65
  5. Step 5: Solve for x
    x = 114,822.65/317.81
  6. Step 6: Final answer
    x = 361.29

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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.