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Finding the Fourth Proportional to 40.76, 56.55 and 40.37

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Solution

The fourth proportional to 40.76, 56.55 and 40.37 is: 56.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.76 : 56.55 = 40.37 : x
  2. Step 2: Convert to fraction form
    40.76/56.55 = 40.37/x
  3. Step 3: Cross multiply
    40.76x = 56.55 × 40.37
  4. Step 4: Simplify right side
    40.76x = 2,282.64
  5. Step 5: Solve for x
    x = 2,282.64/40.76
  6. Step 6: Final answer
    x = 56.01

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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.