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Finding the Fourth Proportional to 238.31, 328.91 and 145.12

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Solution

The fourth proportional to 238.31, 328.91 and 145.12 is: 200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.31 : 328.91 = 145.12 : x
  2. Step 2: Convert to fraction form
    238.31/328.91 = 145.12/x
  3. Step 3: Cross multiply
    238.31x = 328.91 × 145.12
  4. Step 4: Simplify right side
    238.31x = 47,731.42
  5. Step 5: Solve for x
    x = 47,731.42/238.31
  6. Step 6: Final answer
    x = 200.29

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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.