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Finding the Fourth Proportional to 37.78, 56.71 and 35.30

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Solution

The fourth proportional to 37.78, 56.71 and 35.30 is: 52.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.78 : 56.71 = 35.30 : x
  2. Step 2: Convert to fraction form
    37.78/56.71 = 35.30/x
  3. Step 3: Cross multiply
    37.78x = 56.71 × 35.30
  4. Step 4: Simplify right side
    37.78x = 2,001.81
  5. Step 5: Solve for x
    x = 2,001.81/37.78
  6. Step 6: Final answer
    x = 52.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.