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Finding the Fourth Proportional to 415.64, 622.15 and 232.49

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Solution

The fourth proportional to 415.64, 622.15 and 232.49 is: 347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.64 : 622.15 = 232.49 : x
  2. Step 2: Convert to fraction form
    415.64/622.15 = 232.49/x
  3. Step 3: Cross multiply
    415.64x = 622.15 × 232.49
  4. Step 4: Simplify right side
    415.64x = 144,639.96
  5. Step 5: Solve for x
    x = 144,639.96/415.64
  6. Step 6: Final answer
    x = 347.99

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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.