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Finding the Fourth Proportional to 37.77, 56.26 and 35.70

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Solution

The fourth proportional to 37.77, 56.26 and 35.70 is: 53.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.77 : 56.26 = 35.70 : x
  2. Step 2: Convert to fraction form
    37.77/56.26 = 35.70/x
  3. Step 3: Cross multiply
    37.77x = 56.26 × 35.70
  4. Step 4: Simplify right side
    37.77x = 2,008.02
  5. Step 5: Solve for x
    x = 2,008.02/37.77
  6. Step 6: Final answer
    x = 53.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.