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Finding the Fourth Proportional to 143.13, 215.53 and 102.83

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Solution

The fourth proportional to 143.13, 215.53 and 102.83 is: 154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.13 : 215.53 = 102.83 : x
  2. Step 2: Convert to fraction form
    143.13/215.53 = 102.83/x
  3. Step 3: Cross multiply
    143.13x = 215.53 × 102.83
  4. Step 4: Simplify right side
    143.13x = 22,162.95
  5. Step 5: Solve for x
    x = 22,162.95/143.13
  6. Step 6: Final answer
    x = 154.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.