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Finding the Fourth Proportional to 356.76, 534.81 and 137.34

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Solution

The fourth proportional to 356.76, 534.81 and 137.34 is: 205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.76 : 534.81 = 137.34 : x
  2. Step 2: Convert to fraction form
    356.76/534.81 = 137.34/x
  3. Step 3: Cross multiply
    356.76x = 534.81 × 137.34
  4. Step 4: Simplify right side
    356.76x = 73,450.81
  5. Step 5: Solve for x
    x = 73,450.81/356.76
  6. Step 6: Final answer
    x = 205.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.