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Finding the Fourth Proportional to 155.86, 215.04 and 100.60

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Solution

The fourth proportional to 155.86, 215.04 and 100.60 is: 138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.86 : 215.04 = 100.60 : x
  2. Step 2: Convert to fraction form
    155.86/215.04 = 100.60/x
  3. Step 3: Cross multiply
    155.86x = 215.04 × 100.60
  4. Step 4: Simplify right side
    155.86x = 21,633.02
  5. Step 5: Solve for x
    x = 21,633.02/155.86
  6. Step 6: Final answer
    x = 138.80

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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.