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Finding the Fourth Proportional to 40.50, 55.56 and 39.35

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Solution

The fourth proportional to 40.50, 55.56 and 39.35 is: 53.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.50 : 55.56 = 39.35 : x
  2. Step 2: Convert to fraction form
    40.50/55.56 = 39.35/x
  3. Step 3: Cross multiply
    40.50x = 55.56 × 39.35
  4. Step 4: Simplify right side
    40.50x = 2,186.29
  5. Step 5: Solve for x
    x = 2,186.29/40.50
  6. Step 6: Final answer
    x = 53.98

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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.