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Finding the Fourth Proportional to 414.22, 621.21 and 284.20

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Solution

The fourth proportional to 414.22, 621.21 and 284.20 is: 426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.22 : 621.21 = 284.20 : x
  2. Step 2: Convert to fraction form
    414.22/621.21 = 284.20/x
  3. Step 3: Cross multiply
    414.22x = 621.21 × 284.20
  4. Step 4: Simplify right side
    414.22x = 176,547.88
  5. Step 5: Solve for x
    x = 176,547.88/414.22
  6. Step 6: Final answer
    x = 426.22

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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.