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Finding the Fourth Proportional to 304.97, 420.89 and 174.02

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Solution

The fourth proportional to 304.97, 420.89 and 174.02 is: 240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.97 : 420.89 = 174.02 : x
  2. Step 2: Convert to fraction form
    304.97/420.89 = 174.02/x
  3. Step 3: Cross multiply
    304.97x = 420.89 × 174.02
  4. Step 4: Simplify right side
    304.97x = 73,243.28
  5. Step 5: Solve for x
    x = 73,243.28/304.97
  6. Step 6: Final answer
    x = 240.17

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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.