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Finding the Fourth Proportional to 262.25, 392.45 and 218.51

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Solution

The fourth proportional to 262.25, 392.45 and 218.51 is: 326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.25 : 392.45 = 218.51 : x
  2. Step 2: Convert to fraction form
    262.25/392.45 = 218.51/x
  3. Step 3: Cross multiply
    262.25x = 392.45 × 218.51
  4. Step 4: Simplify right side
    262.25x = 85,752.29
  5. Step 5: Solve for x
    x = 85,752.29/262.25
  6. Step 6: Final answer
    x = 326.99

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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.