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Finding the Fourth Proportional to 417.50, 626.38 and 174.05

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Solution

The fourth proportional to 417.50, 626.38 and 174.05 is: 261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.50 : 626.38 = 174.05 : x
  2. Step 2: Convert to fraction form
    417.50/626.38 = 174.05/x
  3. Step 3: Cross multiply
    417.50x = 626.38 × 174.05
  4. Step 4: Simplify right side
    417.50x = 109,017.87
  5. Step 5: Solve for x
    x = 109,017.87/417.50
  6. Step 6: Final answer
    x = 261.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.