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Finding the Fourth Proportional to 316.78, 437.28 and 192.46

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Solution

The fourth proportional to 316.78, 437.28 and 192.46 is: 265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.78 : 437.28 = 192.46 : x
  2. Step 2: Convert to fraction form
    316.78/437.28 = 192.46/x
  3. Step 3: Cross multiply
    316.78x = 437.28 × 192.46
  4. Step 4: Simplify right side
    316.78x = 84,158.91
  5. Step 5: Solve for x
    x = 84,158.91/316.78
  6. Step 6: Final answer
    x = 265.67

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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.