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Finding the Fourth Proportional to 262.47, 392.04 and 221.46

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Solution

The fourth proportional to 262.47, 392.04 and 221.46 is: 330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.47 : 392.04 = 221.46 : x
  2. Step 2: Convert to fraction form
    262.47/392.04 = 221.46/x
  3. Step 3: Cross multiply
    262.47x = 392.04 × 221.46
  4. Step 4: Simplify right side
    262.47x = 86,821.18
  5. Step 5: Solve for x
    x = 86,821.18/262.47
  6. Step 6: Final answer
    x = 330.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.