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Finding the Fourth Proportional to 29.88, 45.12 and 29.28

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Solution

The fourth proportional to 29.88, 45.12 and 29.28 is: 44.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.88 : 45.12 = 29.28 : x
  2. Step 2: Convert to fraction form
    29.88/45.12 = 29.28/x
  3. Step 3: Cross multiply
    29.88x = 45.12 × 29.28
  4. Step 4: Simplify right side
    29.88x = 1,321.11
  5. Step 5: Solve for x
    x = 1,321.11/29.88
  6. Step 6: Final answer
    x = 44.21

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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.