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Finding the Fourth Proportional to 55.93, 77.20 and 35.23

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Solution

The fourth proportional to 55.93, 77.20 and 35.23 is: 48.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.93 : 77.20 = 35.23 : x
  2. Step 2: Convert to fraction form
    55.93/77.20 = 35.23/x
  3. Step 3: Cross multiply
    55.93x = 77.20 × 35.23
  4. Step 4: Simplify right side
    55.93x = 2,719.76
  5. Step 5: Solve for x
    x = 2,719.76/55.93
  6. Step 6: Final answer
    x = 48.63

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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.