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Finding the Fourth Proportional to 35.66, 53.43 and 21.23

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Solution

The fourth proportional to 35.66, 53.43 and 21.23 is: 31.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.66 : 53.43 = 21.23 : x
  2. Step 2: Convert to fraction form
    35.66/53.43 = 21.23/x
  3. Step 3: Cross multiply
    35.66x = 53.43 × 21.23
  4. Step 4: Simplify right side
    35.66x = 1,134.32
  5. Step 5: Solve for x
    x = 1,134.32/35.66
  6. Step 6: Final answer
    x = 31.81

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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.