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Finding the Fourth Proportional to 252.32, 347.27 and 233.51

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Solution

The fourth proportional to 252.32, 347.27 and 233.51 is: 321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 347.27 = 233.51 : x
  2. Step 2: Convert to fraction form
    252.32/347.27 = 233.51/x
  3. Step 3: Cross multiply
    252.32x = 347.27 × 233.51
  4. Step 4: Simplify right side
    252.32x = 81,088.11
  5. Step 5: Solve for x
    x = 81,088.11/252.32
  6. Step 6: Final answer
    x = 321.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.