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Finding the Fourth Proportional to 305.00, 420.89 and 174.05

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Solution

The fourth proportional to 305.00, 420.89 and 174.05 is: 240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.00 : 420.89 = 174.05 : x
  2. Step 2: Convert to fraction form
    305.00/420.89 = 174.05/x
  3. Step 3: Cross multiply
    305.00x = 420.89 × 174.05
  4. Step 4: Simplify right side
    305.00x = 73,252.93
  5. Step 5: Solve for x
    x = 73,252.93/305.00
  6. Step 6: Final answer
    x = 240.18

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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.