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Finding the Fourth Proportional to 29.96, 45.16 and 28.00

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Solution

The fourth proportional to 29.96, 45.16 and 28.00 is: 42.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.96 : 45.16 = 28.00 : x
  2. Step 2: Convert to fraction form
    29.96/45.16 = 28.00/x
  3. Step 3: Cross multiply
    29.96x = 45.16 × 28.00
  4. Step 4: Simplify right side
    29.96x = 1,264.62
  5. Step 5: Solve for x
    x = 1,264.62/29.96
  6. Step 6: Final answer
    x = 42.21

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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.