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Finding the Fourth Proportional to 55.40, 76.43 and 40.68

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Solution

The fourth proportional to 55.40, 76.43 and 40.68 is: 56.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.40 : 76.43 = 40.68 : x
  2. Step 2: Convert to fraction form
    55.40/76.43 = 40.68/x
  3. Step 3: Cross multiply
    55.40x = 76.43 × 40.68
  4. Step 4: Simplify right side
    55.40x = 3,108.97
  5. Step 5: Solve for x
    x = 3,108.97/55.40
  6. Step 6: Final answer
    x = 56.12

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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.