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Finding the Fourth Proportional to 319.43, 442.73 and 313.61

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Solution

The fourth proportional to 319.43, 442.73 and 313.61 is: 434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.43 : 442.73 = 313.61 : x
  2. Step 2: Convert to fraction form
    319.43/442.73 = 313.61/x
  3. Step 3: Cross multiply
    319.43x = 442.73 × 313.61
  4. Step 4: Simplify right side
    319.43x = 138,843.13
  5. Step 5: Solve for x
    x = 138,843.13/319.43
  6. Step 6: Final answer
    x = 434.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.