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Finding the Fourth Proportional to 29.96, 45.32 and 29.76

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Solution

The fourth proportional to 29.96, 45.32 and 29.76 is: 45.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.96 : 45.32 = 29.76 : x
  2. Step 2: Convert to fraction form
    29.96/45.32 = 29.76/x
  3. Step 3: Cross multiply
    29.96x = 45.32 × 29.76
  4. Step 4: Simplify right side
    29.96x = 1,348.72
  5. Step 5: Solve for x
    x = 1,348.72/29.96
  6. Step 6: Final answer
    x = 45.02

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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.