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Finding the Fourth Proportional to 137.01, 189.15 and 99.72

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Solution

The fourth proportional to 137.01, 189.15 and 99.72 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.01 : 189.15 = 99.72 : x
  2. Step 2: Convert to fraction form
    137.01/189.15 = 99.72/x
  3. Step 3: Cross multiply
    137.01x = 189.15 × 99.72
  4. Step 4: Simplify right side
    137.01x = 18,862.04
  5. Step 5: Solve for x
    x = 18,862.04/137.01
  6. Step 6: Final answer
    x = 137.67

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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.