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Finding the Fourth Proportional to 415.29, 622.61 and 210.02

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Solution

The fourth proportional to 415.29, 622.61 and 210.02 is: 314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.29 : 622.61 = 210.02 : x
  2. Step 2: Convert to fraction form
    415.29/622.61 = 210.02/x
  3. Step 3: Cross multiply
    415.29x = 622.61 × 210.02
  4. Step 4: Simplify right side
    415.29x = 130,756.39
  5. Step 5: Solve for x
    x = 130,756.39/415.29
  6. Step 6: Final answer
    x = 314.86

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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.