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Finding the Fourth Proportional to 155.60, 214.44 and 111.86

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Solution

The fourth proportional to 155.60, 214.44 and 111.86 is: 154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.60 : 214.44 = 111.86 : x
  2. Step 2: Convert to fraction form
    155.60/214.44 = 111.86/x
  3. Step 3: Cross multiply
    155.60x = 214.44 × 111.86
  4. Step 4: Simplify right side
    155.60x = 23,987.26
  5. Step 5: Solve for x
    x = 23,987.26/155.60
  6. Step 6: Final answer
    x = 154.16

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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.