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Finding the Fourth Proportional to 29.34, 40.48 and 16.40

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Solution

The fourth proportional to 29.34, 40.48 and 16.40 is: 22.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.34 : 40.48 = 16.40 : x
  2. Step 2: Convert to fraction form
    29.34/40.48 = 16.40/x
  3. Step 3: Cross multiply
    29.34x = 40.48 × 16.40
  4. Step 4: Simplify right side
    29.34x = 663.59
  5. Step 5: Solve for x
    x = 663.59/29.34
  6. Step 6: Final answer
    x = 22.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.