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Finding the Fourth Proportional to 417.54, 626.39 and 174.10

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Solution

The fourth proportional to 417.54, 626.39 and 174.10 is: 261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.54 : 626.39 = 174.10 : x
  2. Step 2: Convert to fraction form
    417.54/626.39 = 174.10/x
  3. Step 3: Cross multiply
    417.54x = 626.39 × 174.10
  4. Step 4: Simplify right side
    417.54x = 109,054.50
  5. Step 5: Solve for x
    x = 109,054.50/417.54
  6. Step 6: Final answer
    x = 261.18

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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.