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Finding the Fourth Proportional to 319.47, 440.92 and 186.70

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Solution

The fourth proportional to 319.47, 440.92 and 186.70 is: 257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.47 : 440.92 = 186.70 : x
  2. Step 2: Convert to fraction form
    319.47/440.92 = 186.70/x
  3. Step 3: Cross multiply
    319.47x = 440.92 × 186.70
  4. Step 4: Simplify right side
    319.47x = 82,319.76
  5. Step 5: Solve for x
    x = 82,319.76/319.47
  6. Step 6: Final answer
    x = 257.68

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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.