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Finding the Fourth Proportional to 262.71, 391.04 and 258.81

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Solution

The fourth proportional to 262.71, 391.04 and 258.81 is: 385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.71 : 391.04 = 258.81 : x
  2. Step 2: Convert to fraction form
    262.71/391.04 = 258.81/x
  3. Step 3: Cross multiply
    262.71x = 391.04 × 258.81
  4. Step 4: Simplify right side
    262.71x = 101,206.93
  5. Step 5: Solve for x
    x = 101,206.93/262.71
  6. Step 6: Final answer
    x = 385.24

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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.