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Finding the Fourth Proportional to 154.88, 213.64 and 99.53

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Solution

The fourth proportional to 154.88, 213.64 and 99.53 is: 137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.88 : 213.64 = 99.53 : x
  2. Step 2: Convert to fraction form
    154.88/213.64 = 99.53/x
  3. Step 3: Cross multiply
    154.88x = 213.64 × 99.53
  4. Step 4: Simplify right side
    154.88x = 21,263.87
  5. Step 5: Solve for x
    x = 21,263.87/154.88
  6. Step 6: Final answer
    x = 137.29

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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.