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Finding the Fourth Proportional to 56.39, 77.76 and 48.23

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Solution

The fourth proportional to 56.39, 77.76 and 48.23 is: 66.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.39 : 77.76 = 48.23 : x
  2. Step 2: Convert to fraction form
    56.39/77.76 = 48.23/x
  3. Step 3: Cross multiply
    56.39x = 77.76 × 48.23
  4. Step 4: Simplify right side
    56.39x = 3,750.36
  5. Step 5: Solve for x
    x = 3,750.36/56.39
  6. Step 6: Final answer
    x = 66.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.