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Finding the Fourth Proportional to 154.09, 211.01 and 145.77

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Solution

The fourth proportional to 154.09, 211.01 and 145.77 is: 199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.09 : 211.01 = 145.77 : x
  2. Step 2: Convert to fraction form
    154.09/211.01 = 145.77/x
  3. Step 3: Cross multiply
    154.09x = 211.01 × 145.77
  4. Step 4: Simplify right side
    154.09x = 30,758.93
  5. Step 5: Solve for x
    x = 30,758.93/154.09
  6. Step 6: Final answer
    x = 199.62

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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.