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Finding the Fourth Proportional to 287.09, 394.47 and 234.51

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Solution

The fourth proportional to 287.09, 394.47 and 234.51 is: 322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.09 : 394.47 = 234.51 : x
  2. Step 2: Convert to fraction form
    287.09/394.47 = 234.51/x
  3. Step 3: Cross multiply
    287.09x = 394.47 × 234.51
  4. Step 4: Simplify right side
    287.09x = 92,507.16
  5. Step 5: Solve for x
    x = 92,507.16/287.09
  6. Step 6: Final answer
    x = 322.22

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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.