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Finding the Fourth Proportional to 305.08, 420.89 and 174.06

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Solution

The fourth proportional to 305.08, 420.89 and 174.06 is: 240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.08 : 420.89 = 174.06 : x
  2. Step 2: Convert to fraction form
    305.08/420.89 = 174.06/x
  3. Step 3: Cross multiply
    305.08x = 420.89 × 174.06
  4. Step 4: Simplify right side
    305.08x = 73,259.24
  5. Step 5: Solve for x
    x = 73,259.24/305.08
  6. Step 6: Final answer
    x = 240.13

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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.