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Finding the Fourth Proportional to 238.22, 328.36 and 189.01

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Solution

The fourth proportional to 238.22, 328.36 and 189.01 is: 260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.22 : 328.36 = 189.01 : x
  2. Step 2: Convert to fraction form
    238.22/328.36 = 189.01/x
  3. Step 3: Cross multiply
    238.22x = 328.36 × 189.01
  4. Step 4: Simplify right side
    238.22x = 62,060.74
  5. Step 5: Solve for x
    x = 62,060.74/238.22
  6. Step 6: Final answer
    x = 260.52

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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.