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Finding the Fourth Proportional to 35.28, 53.10 and 28.62

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Solution

The fourth proportional to 35.28, 53.10 and 28.62 is: 43.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.28 : 53.10 = 28.62 : x
  2. Step 2: Convert to fraction form
    35.28/53.10 = 28.62/x
  3. Step 3: Cross multiply
    35.28x = 53.10 × 28.62
  4. Step 4: Simplify right side
    35.28x = 1,519.72
  5. Step 5: Solve for x
    x = 1,519.72/35.28
  6. Step 6: Final answer
    x = 43.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.