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Finding the Fourth Proportional to 442.10, 609.86 and 317.50

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Solution

The fourth proportional to 442.10, 609.86 and 317.50 is: 437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.10 : 609.86 = 317.50 : x
  2. Step 2: Convert to fraction form
    442.10/609.86 = 317.50/x
  3. Step 3: Cross multiply
    442.10x = 609.86 × 317.50
  4. Step 4: Simplify right side
    442.10x = 193,629.82
  5. Step 5: Solve for x
    x = 193,629.82/442.10
  6. Step 6: Final answer
    x = 437.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.