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Finding the Fourth Proportional to 316.76, 437.17 and 185.77

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Solution

The fourth proportional to 316.76, 437.17 and 185.77 is: 256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.76 : 437.17 = 185.77 : x
  2. Step 2: Convert to fraction form
    316.76/437.17 = 185.77/x
  3. Step 3: Cross multiply
    316.76x = 437.17 × 185.77
  4. Step 4: Simplify right side
    316.76x = 81,212.79
  5. Step 5: Solve for x
    x = 81,212.79/316.76
  6. Step 6: Final answer
    x = 256.39

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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.