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Finding the Fourth Proportional to 293.13, 438.12 and 232.34

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Solution

The fourth proportional to 293.13, 438.12 and 232.34 is: 347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.13 : 438.12 = 232.34 : x
  2. Step 2: Convert to fraction form
    293.13/438.12 = 232.34/x
  3. Step 3: Cross multiply
    293.13x = 438.12 × 232.34
  4. Step 4: Simplify right side
    293.13x = 101,790.61
  5. Step 5: Solve for x
    x = 101,790.61/293.13
  6. Step 6: Final answer
    x = 347.25

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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.