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Finding the Fourth Proportional to 415.43, 622.38 and 278.64

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Solution

The fourth proportional to 415.43, 622.38 and 278.64 is: 417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.43 : 622.38 = 278.64 : x
  2. Step 2: Convert to fraction form
    415.43/622.38 = 278.64/x
  3. Step 3: Cross multiply
    415.43x = 622.38 × 278.64
  4. Step 4: Simplify right side
    415.43x = 173,421.01
  5. Step 5: Solve for x
    x = 173,421.01/415.43
  6. Step 6: Final answer
    x = 417.45

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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.