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Finding the Fourth Proportional to 143.61, 215.30 and 56.97

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Solution

The fourth proportional to 143.61, 215.30 and 56.97 is: 85.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.61 : 215.30 = 56.97 : x
  2. Step 2: Convert to fraction form
    143.61/215.30 = 56.97/x
  3. Step 3: Cross multiply
    143.61x = 215.30 × 56.97
  4. Step 4: Simplify right side
    143.61x = 12,265.64
  5. Step 5: Solve for x
    x = 12,265.64/143.61
  6. Step 6: Final answer
    x = 85.41

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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.