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Finding the Fourth Proportional to 238.04, 328.34 and 148.29

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Solution

The fourth proportional to 238.04, 328.34 and 148.29 is: 204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.04 : 328.34 = 148.29 : x
  2. Step 2: Convert to fraction form
    238.04/328.34 = 148.29/x
  3. Step 3: Cross multiply
    238.04x = 328.34 × 148.29
  4. Step 4: Simplify right side
    238.04x = 48,689.54
  5. Step 5: Solve for x
    x = 48,689.54/238.04
  6. Step 6: Final answer
    x = 204.54

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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.