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Finding the Fourth Proportional to 434.89, 652.44 and 251.96

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Solution

The fourth proportional to 434.89, 652.44 and 251.96 is: 378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.89 : 652.44 = 251.96 : x
  2. Step 2: Convert to fraction form
    434.89/652.44 = 251.96/x
  3. Step 3: Cross multiply
    434.89x = 652.44 × 251.96
  4. Step 4: Simplify right side
    434.89x = 164,388.78
  5. Step 5: Solve for x
    x = 164,388.78/434.89
  6. Step 6: Final answer
    x = 378.01

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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.