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Finding the Fourth Proportional to 137.93, 207.69 and 99.67

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Solution

The fourth proportional to 137.93, 207.69 and 99.67 is: 150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.93 : 207.69 = 99.67 : x
  2. Step 2: Convert to fraction form
    137.93/207.69 = 99.67/x
  3. Step 3: Cross multiply
    137.93x = 207.69 × 99.67
  4. Step 4: Simplify right side
    137.93x = 20,700.46
  5. Step 5: Solve for x
    x = 20,700.46/137.93
  6. Step 6: Final answer
    x = 150.08

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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.