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Finding the Fourth Proportional to 29.90, 45.08 and 29.54

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Solution

The fourth proportional to 29.90, 45.08 and 29.54 is: 44.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.90 : 45.08 = 29.54 : x
  2. Step 2: Convert to fraction form
    29.90/45.08 = 29.54/x
  3. Step 3: Cross multiply
    29.90x = 45.08 × 29.54
  4. Step 4: Simplify right side
    29.90x = 1,331.66
  5. Step 5: Solve for x
    x = 1,331.66/29.90
  6. Step 6: Final answer
    x = 44.54

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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.