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Finding the Fourth Proportional to 154.81, 233.35 and 145.27

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Solution

The fourth proportional to 154.81, 233.35 and 145.27 is: 218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.81 : 233.35 = 145.27 : x
  2. Step 2: Convert to fraction form
    154.81/233.35 = 145.27/x
  3. Step 3: Cross multiply
    154.81x = 233.35 × 145.27
  4. Step 4: Simplify right side
    154.81x = 33,898.75
  5. Step 5: Solve for x
    x = 33,898.75/154.81
  6. Step 6: Final answer
    x = 218.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.