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Finding the Fourth Proportional to 56, 77.26 and 35

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Solution

The fourth proportional to 56, 77.26 and 35 is: 48.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56 : 77.26 = 35 : x
  2. Step 2: Convert to fraction form
    56/77.26 = 35/x
  3. Step 3: Cross multiply
    56x = 77.26 × 35
  4. Step 4: Simplify right side
    56x = 2,704.10
  5. Step 5: Solve for x
    x = 2,704.10/56
  6. Step 6: Final answer
    x = 48.29

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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.