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Finding the Fourth Proportional to 434.96, 652.47 and 161.07

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Solution

The fourth proportional to 434.96, 652.47 and 161.07 is: 241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.96 : 652.47 = 161.07 : x
  2. Step 2: Convert to fraction form
    434.96/652.47 = 161.07/x
  3. Step 3: Cross multiply
    434.96x = 652.47 × 161.07
  4. Step 4: Simplify right side
    434.96x = 105,093.34
  5. Step 5: Solve for x
    x = 105,093.34/434.96
  6. Step 6: Final answer
    x = 241.62

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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.