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Finding the Fourth Proportional to 155.12, 213.93 and 99.93

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Solution

The fourth proportional to 155.12, 213.93 and 99.93 is: 137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.12 : 213.93 = 99.93 : x
  2. Step 2: Convert to fraction form
    155.12/213.93 = 99.93/x
  3. Step 3: Cross multiply
    155.12x = 213.93 × 99.93
  4. Step 4: Simplify right side
    155.12x = 21,378.02
  5. Step 5: Solve for x
    x = 21,378.02/155.12
  6. Step 6: Final answer
    x = 137.82

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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.