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Finding the Fourth Proportional to 434.88, 652.01 and 229.46

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Solution

The fourth proportional to 434.88, 652.01 and 229.46 is: 344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.88 : 652.01 = 229.46 : x
  2. Step 2: Convert to fraction form
    434.88/652.01 = 229.46/x
  3. Step 3: Cross multiply
    434.88x = 652.01 × 229.46
  4. Step 4: Simplify right side
    434.88x = 149,605.81
  5. Step 5: Solve for x
    x = 149,605.81/434.88
  6. Step 6: Final answer
    x = 344.02

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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.