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Finding the Fourth Proportional to 35.80, 53.73 and 30.80

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Solution

The fourth proportional to 35.80, 53.73 and 30.80 is: 46.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.80 : 53.73 = 30.80 : x
  2. Step 2: Convert to fraction form
    35.80/53.73 = 30.80/x
  3. Step 3: Cross multiply
    35.80x = 53.73 × 30.80
  4. Step 4: Simplify right side
    35.80x = 1,655.02
  5. Step 5: Solve for x
    x = 1,655.02/35.80
  6. Step 6: Final answer
    x = 46.23

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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.