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Finding the Fourth Proportional to 262.72, 359.39 and 261.64

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Solution

The fourth proportional to 262.72, 359.39 and 261.64 is: 357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.72 : 359.39 = 261.64 : x
  2. Step 2: Convert to fraction form
    262.72/359.39 = 261.64/x
  3. Step 3: Cross multiply
    262.72x = 359.39 × 261.64
  4. Step 4: Simplify right side
    262.72x = 94,030.80
  5. Step 5: Solve for x
    x = 94,030.80/262.72
  6. Step 6: Final answer
    x = 357.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.