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Finding the Fourth Proportional to 56.77, 85.16 and 41.51

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Solution

The fourth proportional to 56.77, 85.16 and 41.51 is: 62.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.77 : 85.16 = 41.51 : x
  2. Step 2: Convert to fraction form
    56.77/85.16 = 41.51/x
  3. Step 3: Cross multiply
    56.77x = 85.16 × 41.51
  4. Step 4: Simplify right side
    56.77x = 3,535.31
  5. Step 5: Solve for x
    x = 3,535.31/56.77
  6. Step 6: Final answer
    x = 62.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.