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Finding the Fourth Proportional to 143.59, 215.38 and 35.38

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Solution

The fourth proportional to 143.59, 215.38 and 35.38 is: 53.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.59 : 215.38 = 35.38 : x
  2. Step 2: Convert to fraction form
    143.59/215.38 = 35.38/x
  3. Step 3: Cross multiply
    143.59x = 215.38 × 35.38
  4. Step 4: Simplify right side
    143.59x = 7,618.89
  5. Step 5: Solve for x
    x = 7,618.89/143.59
  6. Step 6: Final answer
    x = 53.06

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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.