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Finding the Fourth Proportional to 35.38, 53.00 and 19.31

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Solution

The fourth proportional to 35.38, 53.00 and 19.31 is: 28.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.38 : 53.00 = 19.31 : x
  2. Step 2: Convert to fraction form
    35.38/53.00 = 19.31/x
  3. Step 3: Cross multiply
    35.38x = 53.00 × 19.31
  4. Step 4: Simplify right side
    35.38x = 1,023.47
  5. Step 5: Solve for x
    x = 1,023.47/35.38
  6. Step 6: Final answer
    x = 28.93

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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.