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Finding the Fourth Proportional to 293.50, 405.24 and 238.15

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Solution

The fourth proportional to 293.50, 405.24 and 238.15 is: 328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.50 : 405.24 = 238.15 : x
  2. Step 2: Convert to fraction form
    293.50/405.24 = 238.15/x
  3. Step 3: Cross multiply
    293.50x = 405.24 × 238.15
  4. Step 4: Simplify right side
    293.50x = 96,507.91
  5. Step 5: Solve for x
    x = 96,507.91/293.50
  6. Step 6: Final answer
    x = 328.82

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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.