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Finding the Fourth Proportional to 56.14, 84.74 and 55.87

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Solution

The fourth proportional to 56.14, 84.74 and 55.87 is: 84.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.14 : 84.74 = 55.87 : x
  2. Step 2: Convert to fraction form
    56.14/84.74 = 55.87/x
  3. Step 3: Cross multiply
    56.14x = 84.74 × 55.87
  4. Step 4: Simplify right side
    56.14x = 4,734.42
  5. Step 5: Solve for x
    x = 4,734.42/56.14
  6. Step 6: Final answer
    x = 84.33

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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.