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Finding the Fourth Proportional to 262.08, 393.42 and 208.62

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Solution

The fourth proportional to 262.08, 393.42 and 208.62 is: 313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.08 : 393.42 = 208.62 : x
  2. Step 2: Convert to fraction form
    262.08/393.42 = 208.62/x
  3. Step 3: Cross multiply
    262.08x = 393.42 × 208.62
  4. Step 4: Simplify right side
    262.08x = 82,075.28
  5. Step 5: Solve for x
    x = 82,075.28/262.08
  6. Step 6: Final answer
    x = 313.17

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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.