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Finding the Fourth Proportional to 442.65, 610.85 and 246.17

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Solution

The fourth proportional to 442.65, 610.85 and 246.17 is: 339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.65 : 610.85 = 246.17 : x
  2. Step 2: Convert to fraction form
    442.65/610.85 = 246.17/x
  3. Step 3: Cross multiply
    442.65x = 610.85 × 246.17
  4. Step 4: Simplify right side
    442.65x = 150,368.66
  5. Step 5: Solve for x
    x = 150,368.66/442.65
  6. Step 6: Final answer
    x = 339.70

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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.