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Finding the Fourth Proportional to 102.77, 154.14 and 30.62

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Solution

The fourth proportional to 102.77, 154.14 and 30.62 is: 45.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.77 : 154.14 = 30.62 : x
  2. Step 2: Convert to fraction form
    102.77/154.14 = 30.62/x
  3. Step 3: Cross multiply
    102.77x = 154.14 × 30.62
  4. Step 4: Simplify right side
    102.77x = 4,719.00
  5. Step 5: Solve for x
    x = 4,719.00/102.77
  6. Step 6: Final answer
    x = 45.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.