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Finding the Fourth Proportional to 43.30, 59.70 and 35.09

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Solution

The fourth proportional to 43.30, 59.70 and 35.09 is: 48.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.30 : 59.70 = 35.09 : x
  2. Step 2: Convert to fraction form
    43.30/59.70 = 35.09/x
  3. Step 3: Cross multiply
    43.30x = 59.70 × 35.09
  4. Step 4: Simplify right side
    43.30x = 2,094.87
  5. Step 5: Solve for x
    x = 2,094.87/43.30
  6. Step 6: Final answer
    x = 48.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.