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Finding the Fourth Proportional to 29.93, 40.76 and 29.78

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Solution

The fourth proportional to 29.93, 40.76 and 29.78 is: 40.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.93 : 40.76 = 29.78 : x
  2. Step 2: Convert to fraction form
    29.93/40.76 = 29.78/x
  3. Step 3: Cross multiply
    29.93x = 40.76 × 29.78
  4. Step 4: Simplify right side
    29.93x = 1,213.83
  5. Step 5: Solve for x
    x = 1,213.83/29.93
  6. Step 6: Final answer
    x = 40.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.