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Finding the Fourth Proportional to 56.47, 77.42 and 55.49

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Solution

The fourth proportional to 56.47, 77.42 and 55.49 is: 76.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.47 : 77.42 = 55.49 : x
  2. Step 2: Convert to fraction form
    56.47/77.42 = 55.49/x
  3. Step 3: Cross multiply
    56.47x = 77.42 × 55.49
  4. Step 4: Simplify right side
    56.47x = 4,296.04
  5. Step 5: Solve for x
    x = 4,296.04/56.47
  6. Step 6: Final answer
    x = 76.08

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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.