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Finding the Fourth Proportional to 38.61, 58.13 and 29.67

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Solution

The fourth proportional to 38.61, 58.13 and 29.67 is: 44.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.61 : 58.13 = 29.67 : x
  2. Step 2: Convert to fraction form
    38.61/58.13 = 29.67/x
  3. Step 3: Cross multiply
    38.61x = 58.13 × 29.67
  4. Step 4: Simplify right side
    38.61x = 1,724.72
  5. Step 5: Solve for x
    x = 1,724.72/38.61
  6. Step 6: Final answer
    x = 44.67

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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.