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Finding the Fourth Proportional to 155.69, 214.47 and 131.12

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Solution

The fourth proportional to 155.69, 214.47 and 131.12 is: 180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.69 : 214.47 = 131.12 : x
  2. Step 2: Convert to fraction form
    155.69/214.47 = 131.12/x
  3. Step 3: Cross multiply
    155.69x = 214.47 × 131.12
  4. Step 4: Simplify right side
    155.69x = 28,121.31
  5. Step 5: Solve for x
    x = 28,121.31/155.69
  6. Step 6: Final answer
    x = 180.62

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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.