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Finding the Fourth Proportional to 262.41, 392.78 and 159.37

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Solution

The fourth proportional to 262.41, 392.78 and 159.37 is: 238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.41 : 392.78 = 159.37 : x
  2. Step 2: Convert to fraction form
    262.41/392.78 = 159.37/x
  3. Step 3: Cross multiply
    262.41x = 392.78 × 159.37
  4. Step 4: Simplify right side
    262.41x = 62,596.77
  5. Step 5: Solve for x
    x = 62,596.77/262.41
  6. Step 6: Final answer
    x = 238.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.