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Finding the Fourth Proportional to 30.66, 45.68 and 29.37

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Solution

The fourth proportional to 30.66, 45.68 and 29.37 is: 43.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.66 : 45.68 = 29.37 : x
  2. Step 2: Convert to fraction form
    30.66/45.68 = 29.37/x
  3. Step 3: Cross multiply
    30.66x = 45.68 × 29.37
  4. Step 4: Simplify right side
    30.66x = 1,341.62
  5. Step 5: Solve for x
    x = 1,341.62/30.66
  6. Step 6: Final answer
    x = 43.76

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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.