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Finding the Fourth Proportional to 262.10, 393.21 and 99.78

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Solution

The fourth proportional to 262.10, 393.21 and 99.78 is: 149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.10 : 393.21 = 99.78 : x
  2. Step 2: Convert to fraction form
    262.10/393.21 = 99.78/x
  3. Step 3: Cross multiply
    262.10x = 393.21 × 99.78
  4. Step 4: Simplify right side
    262.10x = 39,233.99
  5. Step 5: Solve for x
    x = 39,233.99/262.10
  6. Step 6: Final answer
    x = 149.69

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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.