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Finding the Fourth Proportional to 55.66, 76.78 and 39.06

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Solution

The fourth proportional to 55.66, 76.78 and 39.06 is: 53.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.66 : 76.78 = 39.06 : x
  2. Step 2: Convert to fraction form
    55.66/76.78 = 39.06/x
  3. Step 3: Cross multiply
    55.66x = 76.78 × 39.06
  4. Step 4: Simplify right side
    55.66x = 2,999.03
  5. Step 5: Solve for x
    x = 2,999.03/55.66
  6. Step 6: Final answer
    x = 53.88

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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.