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Finding the Fourth Proportional to 262.02, 392.82 and 165.63

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Solution

The fourth proportional to 262.02, 392.82 and 165.63 is: 248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.02 : 392.82 = 165.63 : x
  2. Step 2: Convert to fraction form
    262.02/392.82 = 165.63/x
  3. Step 3: Cross multiply
    262.02x = 392.82 × 165.63
  4. Step 4: Simplify right side
    262.02x = 65,062.78
  5. Step 5: Solve for x
    x = 65,062.78/262.02
  6. Step 6: Final answer
    x = 248.31

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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.