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Finding the Fourth Proportional to 262.21, 391.66 and 260.86

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Solution

The fourth proportional to 262.21, 391.66 and 260.86 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.21 : 391.66 = 260.86 : x
  2. Step 2: Convert to fraction form
    262.21/391.66 = 260.86/x
  3. Step 3: Cross multiply
    262.21x = 391.66 × 260.86
  4. Step 4: Simplify right side
    262.21x = 102,168.43
  5. Step 5: Solve for x
    x = 102,168.43/262.21
  6. Step 6: Final answer
    x = 389.64

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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.