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Finding the Fourth Proportional to 155.81, 214.79 and 137.28

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Solution

The fourth proportional to 155.81, 214.79 and 137.28 is: 189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.81 : 214.79 = 137.28 : x
  2. Step 2: Convert to fraction form
    155.81/214.79 = 137.28/x
  3. Step 3: Cross multiply
    155.81x = 214.79 × 137.28
  4. Step 4: Simplify right side
    155.81x = 29,486.49
  5. Step 5: Solve for x
    x = 29,486.49/155.81
  6. Step 6: Final answer
    x = 189.24

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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.