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Finding the Fourth Proportional to 35.55, 49.05 and 20

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Solution

The fourth proportional to 35.55, 49.05 and 20 is: 27.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.55 : 49.05 = 20 : x
  2. Step 2: Convert to fraction form
    35.55/49.05 = 20/x
  3. Step 3: Cross multiply
    35.55x = 49.05 × 20
  4. Step 4: Simplify right side
    35.55x = 981
  5. Step 5: Solve for x
    x = 981/35.55
  6. Step 6: Final answer
    x = 27.59

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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.