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Finding the Fourth Proportional to 414.72, 624.24 and 352.08

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Solution

The fourth proportional to 414.72, 624.24 and 352.08 is: 529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 624.24 = 352.08 : x
  2. Step 2: Convert to fraction form
    414.72/624.24 = 352.08/x
  3. Step 3: Cross multiply
    414.72x = 624.24 × 352.08
  4. Step 4: Simplify right side
    414.72x = 219,782.42
  5. Step 5: Solve for x
    x = 219,782.42/414.72
  6. Step 6: Final answer
    x = 529.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.