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Finding the Fourth Proportional to 262.50, 393.86 and 139.24

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Solution

The fourth proportional to 262.50, 393.86 and 139.24 is: 208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 393.86 = 139.24 : x
  2. Step 2: Convert to fraction form
    262.50/393.86 = 139.24/x
  3. Step 3: Cross multiply
    262.50x = 393.86 × 139.24
  4. Step 4: Simplify right side
    262.50x = 54,841.07
  5. Step 5: Solve for x
    x = 54,841.07/262.50
  6. Step 6: Final answer
    x = 208.92

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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.