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Finding the Fourth Proportional to 262.94, 392.36 and 261.43

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Solution

The fourth proportional to 262.94, 392.36 and 261.43 is: 390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.94 : 392.36 = 261.43 : x
  2. Step 2: Convert to fraction form
    262.94/392.36 = 261.43/x
  3. Step 3: Cross multiply
    262.94x = 392.36 × 261.43
  4. Step 4: Simplify right side
    262.94x = 102,574.67
  5. Step 5: Solve for x
    x = 102,574.67/262.94
  6. Step 6: Final answer
    x = 390.11

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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.