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Finding the Fourth Proportional to 155.41, 214.53 and 140.59

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Solution

The fourth proportional to 155.41, 214.53 and 140.59 is: 194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.41 : 214.53 = 140.59 : x
  2. Step 2: Convert to fraction form
    155.41/214.53 = 140.59/x
  3. Step 3: Cross multiply
    155.41x = 214.53 × 140.59
  4. Step 4: Simplify right side
    155.41x = 30,160.77
  5. Step 5: Solve for x
    x = 30,160.77/155.41
  6. Step 6: Final answer
    x = 194.07

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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.