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Finding the Fourth Proportional to 238.54, 328.84 and 151.06

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Solution

The fourth proportional to 238.54, 328.84 and 151.06 is: 208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.54 : 328.84 = 151.06 : x
  2. Step 2: Convert to fraction form
    238.54/328.84 = 151.06/x
  3. Step 3: Cross multiply
    238.54x = 328.84 × 151.06
  4. Step 4: Simplify right side
    238.54x = 49,674.57
  5. Step 5: Solve for x
    x = 49,674.57/238.54
  6. Step 6: Final answer
    x = 208.24

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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.