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Finding the Fourth Proportional to 442.96, 610.98 and 309.94

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Solution

The fourth proportional to 442.96, 610.98 and 309.94 is: 427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.96 : 610.98 = 309.94 : x
  2. Step 2: Convert to fraction form
    442.96/610.98 = 309.94/x
  3. Step 3: Cross multiply
    442.96x = 610.98 × 309.94
  4. Step 4: Simplify right side
    442.96x = 189,367.14
  5. Step 5: Solve for x
    x = 189,367.14/442.96
  6. Step 6: Final answer
    x = 427.50

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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.