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Finding the Fourth Proportional to 262.76, 392.21 and 232.35

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Solution

The fourth proportional to 262.76, 392.21 and 232.35 is: 346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.76 : 392.21 = 232.35 : x
  2. Step 2: Convert to fraction form
    262.76/392.21 = 232.35/x
  3. Step 3: Cross multiply
    262.76x = 392.21 × 232.35
  4. Step 4: Simplify right side
    262.76x = 91,128.83
  5. Step 5: Solve for x
    x = 91,128.83/262.76
  6. Step 6: Final answer
    x = 346.82

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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.