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Finding the Fourth Proportional to 238.24, 328.66 and 189.19

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Solution

The fourth proportional to 238.24, 328.66 and 189.19 is: 260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.24 : 328.66 = 189.19 : x
  2. Step 2: Convert to fraction form
    238.24/328.66 = 189.19/x
  3. Step 3: Cross multiply
    238.24x = 328.66 × 189.19
  4. Step 4: Simplify right side
    238.24x = 62,179.19
  5. Step 5: Solve for x
    x = 62,179.19/238.24
  6. Step 6: Final answer
    x = 260.99

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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.