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Finding the Fourth Proportional to 417.61, 626.18 and 174

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Solution

The fourth proportional to 417.61, 626.18 and 174 is: 260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.61 : 626.18 = 174 : x
  2. Step 2: Convert to fraction form
    417.61/626.18 = 174/x
  3. Step 3: Cross multiply
    417.61x = 626.18 × 174
  4. Step 4: Simplify right side
    417.61x = 108,954.45
  5. Step 5: Solve for x
    x = 108,954.45/417.61
  6. Step 6: Final answer
    x = 260.90

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