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Finding the Fourth Proportional to 356.53, 534.68 and 137.12

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Solution

The fourth proportional to 356.53, 534.68 and 137.12 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.53 : 534.68 = 137.12 : x
  2. Step 2: Convert to fraction form
    356.53/534.68 = 137.12/x
  3. Step 3: Cross multiply
    356.53x = 534.68 × 137.12
  4. Step 4: Simplify right side
    356.53x = 73,312.65
  5. Step 5: Solve for x
    x = 73,312.65/356.53
  6. Step 6: Final answer
    x = 205.63

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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.