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Finding the Fourth Proportional to 442.08, 663.17 and 211.08

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Solution

The fourth proportional to 442.08, 663.17 and 211.08 is: 316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.08 : 663.17 = 211.08 : x
  2. Step 2: Convert to fraction form
    442.08/663.17 = 211.08/x
  3. Step 3: Cross multiply
    442.08x = 663.17 × 211.08
  4. Step 4: Simplify right side
    442.08x = 139,980.87
  5. Step 5: Solve for x
    x = 139,980.87/442.08
  6. Step 6: Final answer
    x = 316.64

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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.