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Finding the Fourth Proportional to 262.86, 392.29 and 252.26

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Solution

The fourth proportional to 262.86, 392.29 and 252.26 is: 376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.86 : 392.29 = 252.26 : x
  2. Step 2: Convert to fraction form
    262.86/392.29 = 252.26/x
  3. Step 3: Cross multiply
    262.86x = 392.29 × 252.26
  4. Step 4: Simplify right side
    262.86x = 98,959.08
  5. Step 5: Solve for x
    x = 98,959.08/262.86
  6. Step 6: Final answer
    x = 376.47

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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.