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Finding the Fourth Proportional to 71.39, 106.98 and 30.77

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Solution

The fourth proportional to 71.39, 106.98 and 30.77 is: 46.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.39 : 106.98 = 30.77 : x
  2. Step 2: Convert to fraction form
    71.39/106.98 = 30.77/x
  3. Step 3: Cross multiply
    71.39x = 106.98 × 30.77
  4. Step 4: Simplify right side
    71.39x = 3,291.77
  5. Step 5: Solve for x
    x = 3,291.77/71.39
  6. Step 6: Final answer
    x = 46.11

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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.