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Finding the Fourth Proportional to 154.52, 212.99 and 105.38

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Solution

The fourth proportional to 154.52, 212.99 and 105.38 is: 145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.52 : 212.99 = 105.38 : x
  2. Step 2: Convert to fraction form
    154.52/212.99 = 105.38/x
  3. Step 3: Cross multiply
    154.52x = 212.99 × 105.38
  4. Step 4: Simplify right side
    154.52x = 22,444.89
  5. Step 5: Solve for x
    x = 22,444.89/154.52
  6. Step 6: Final answer
    x = 145.26

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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.