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Finding the Fourth Proportional to 262.29, 390.25 and 261.35

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Solution

The fourth proportional to 262.29, 390.25 and 261.35 is: 388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.29 : 390.25 = 261.35 : x
  2. Step 2: Convert to fraction form
    262.29/390.25 = 261.35/x
  3. Step 3: Cross multiply
    262.29x = 390.25 × 261.35
  4. Step 4: Simplify right side
    262.29x = 101,991.84
  5. Step 5: Solve for x
    x = 101,991.84/262.29
  6. Step 6: Final answer
    x = 388.85

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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.