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Finding the Fourth Proportional to 103.08, 153.51 and 99.84

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Solution

The fourth proportional to 103.08, 153.51 and 99.84 is: 148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.08 : 153.51 = 99.84 : x
  2. Step 2: Convert to fraction form
    103.08/153.51 = 99.84/x
  3. Step 3: Cross multiply
    103.08x = 153.51 × 99.84
  4. Step 4: Simplify right side
    103.08x = 15,326.44
  5. Step 5: Solve for x
    x = 15,326.44/103.08
  6. Step 6: Final answer
    x = 148.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.