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Finding the Fourth Proportional to 40.83, 56.74 and 40.42

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Solution

The fourth proportional to 40.83, 56.74 and 40.42 is: 56.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.83 : 56.74 = 40.42 : x
  2. Step 2: Convert to fraction form
    40.83/56.74 = 40.42/x
  3. Step 3: Cross multiply
    40.83x = 56.74 × 40.42
  4. Step 4: Simplify right side
    40.83x = 2,293.34
  5. Step 5: Solve for x
    x = 2,293.34/40.83
  6. Step 6: Final answer
    x = 56.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.