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Finding the Fourth Proportional to 35.34, 52.99 and 19.94

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Solution

The fourth proportional to 35.34, 52.99 and 19.94 is: 29.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.34 : 52.99 = 19.94 : x
  2. Step 2: Convert to fraction form
    35.34/52.99 = 19.94/x
  3. Step 3: Cross multiply
    35.34x = 52.99 × 19.94
  4. Step 4: Simplify right side
    35.34x = 1,056.62
  5. Step 5: Solve for x
    x = 1,056.62/35.34
  6. Step 6: Final answer
    x = 29.90

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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.