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Finding the Fourth Proportional to 434.98, 652.40 and 161.20

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Solution

The fourth proportional to 434.98, 652.40 and 161.20 is: 241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.98 : 652.40 = 161.20 : x
  2. Step 2: Convert to fraction form
    434.98/652.40 = 161.20/x
  3. Step 3: Cross multiply
    434.98x = 652.40 × 161.20
  4. Step 4: Simplify right side
    434.98x = 105,166.88
  5. Step 5: Solve for x
    x = 105,166.88/434.98
  6. Step 6: Final answer
    x = 241.77

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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.