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Finding the Fourth Proportional to 238.21, 328.76 and 151.13

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Solution

The fourth proportional to 238.21, 328.76 and 151.13 is: 208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.21 : 328.76 = 151.13 : x
  2. Step 2: Convert to fraction form
    238.21/328.76 = 151.13/x
  3. Step 3: Cross multiply
    238.21x = 328.76 × 151.13
  4. Step 4: Simplify right side
    238.21x = 49,686.13
  5. Step 5: Solve for x
    x = 49,686.13/238.21
  6. Step 6: Final answer
    x = 208.58

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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.