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Finding the Fourth Proportional to 40.84, 56.20 and 37.20

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Solution

The fourth proportional to 40.84, 56.20 and 37.20 is: 51.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.84 : 56.20 = 37.20 : x
  2. Step 2: Convert to fraction form
    40.84/56.20 = 37.20/x
  3. Step 3: Cross multiply
    40.84x = 56.20 × 37.20
  4. Step 4: Simplify right side
    40.84x = 2,090.64
  5. Step 5: Solve for x
    x = 2,090.64/40.84
  6. Step 6: Final answer
    x = 51.19

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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.