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Finding the Fourth Proportional to 238.14, 328.04 and 223.02

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Solution

The fourth proportional to 238.14, 328.04 and 223.02 is: 307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 328.04 = 223.02 : x
  2. Step 2: Convert to fraction form
    238.14/328.04 = 223.02/x
  3. Step 3: Cross multiply
    238.14x = 328.04 × 223.02
  4. Step 4: Simplify right side
    238.14x = 73,159.48
  5. Step 5: Solve for x
    x = 73,159.48/238.14
  6. Step 6: Final answer
    x = 307.21

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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.