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Finding the Fourth Proportional to 305.53, 421.61 and 174.53

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Solution

The fourth proportional to 305.53, 421.61 and 174.53 is: 240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.53 : 421.61 = 174.53 : x
  2. Step 2: Convert to fraction form
    305.53/421.61 = 174.53/x
  3. Step 3: Cross multiply
    305.53x = 421.61 × 174.53
  4. Step 4: Simplify right side
    305.53x = 73,583.77
  5. Step 5: Solve for x
    x = 73,583.77/305.53
  6. Step 6: Final answer
    x = 240.84

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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.