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Finding the Fourth Proportional to 40.51, 61.07 and 37.90

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Solution

The fourth proportional to 40.51, 61.07 and 37.90 is: 57.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.51 : 61.07 = 37.90 : x
  2. Step 2: Convert to fraction form
    40.51/61.07 = 37.90/x
  3. Step 3: Cross multiply
    40.51x = 61.07 × 37.90
  4. Step 4: Simplify right side
    40.51x = 2,314.21
  5. Step 5: Solve for x
    x = 2,314.21/40.51
  6. Step 6: Final answer
    x = 57.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.