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Finding the Fourth Proportional to 56.14, 76.99 and 55.87

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Solution

The fourth proportional to 56.14, 76.99 and 55.87 is: 76.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.14 : 76.99 = 55.87 : x
  2. Step 2: Convert to fraction form
    56.14/76.99 = 55.87/x
  3. Step 3: Cross multiply
    56.14x = 76.99 × 55.87
  4. Step 4: Simplify right side
    56.14x = 4,301.43
  5. Step 5: Solve for x
    x = 4,301.43/56.14
  6. Step 6: Final answer
    x = 76.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.