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Finding the Fourth Proportional to 154.93, 233.49 and 145.81

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Solution

The fourth proportional to 154.93, 233.49 and 145.81 is: 219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.93 : 233.49 = 145.81 : x
  2. Step 2: Convert to fraction form
    154.93/233.49 = 145.81/x
  3. Step 3: Cross multiply
    154.93x = 233.49 × 145.81
  4. Step 4: Simplify right side
    154.93x = 34,045.18
  5. Step 5: Solve for x
    x = 34,045.18/154.93
  6. Step 6: Final answer
    x = 219.75

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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.