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Finding the Fourth Proportional to 305.05, 420.91 and 174.06

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Solution

The fourth proportional to 305.05, 420.91 and 174.06 is: 240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.05 : 420.91 = 174.06 : x
  2. Step 2: Convert to fraction form
    305.05/420.91 = 174.06/x
  3. Step 3: Cross multiply
    305.05x = 420.91 × 174.06
  4. Step 4: Simplify right side
    305.05x = 73,260.62
  5. Step 5: Solve for x
    x = 73,260.62/305.05
  6. Step 6: Final answer
    x = 240.16

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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.