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Finding the Fourth Proportional to 155.11, 212.78 and 145.80

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Solution

The fourth proportional to 155.11, 212.78 and 145.80 is: 200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.11 : 212.78 = 145.80 : x
  2. Step 2: Convert to fraction form
    155.11/212.78 = 145.80/x
  3. Step 3: Cross multiply
    155.11x = 212.78 × 145.80
  4. Step 4: Simplify right side
    155.11x = 31,022.26
  5. Step 5: Solve for x
    x = 31,022.26/155.11
  6. Step 6: Final answer
    x = 200.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.