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Finding the Fourth Proportional to 56.42, 85.04 and 53.58

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Solution

The fourth proportional to 56.42, 85.04 and 53.58 is: 80.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.42 : 85.04 = 53.58 : x
  2. Step 2: Convert to fraction form
    56.42/85.04 = 53.58/x
  3. Step 3: Cross multiply
    56.42x = 85.04 × 53.58
  4. Step 4: Simplify right side
    56.42x = 4,556.44
  5. Step 5: Solve for x
    x = 4,556.44/56.42
  6. Step 6: Final answer
    x = 80.76

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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.