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Finding the Fourth Proportional to 262.62, 394.31 and 147.29

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Solution

The fourth proportional to 262.62, 394.31 and 147.29 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.62 : 394.31 = 147.29 : x
  2. Step 2: Convert to fraction form
    262.62/394.31 = 147.29/x
  3. Step 3: Cross multiply
    262.62x = 394.31 × 147.29
  4. Step 4: Simplify right side
    262.62x = 58,075.21
  5. Step 5: Solve for x
    x = 58,075.21/262.62
  6. Step 6: Final answer
    x = 221.14

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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.