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Finding the Fourth Proportional to 174.83, 263.20 and 144.86

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Solution

The fourth proportional to 174.83, 263.20 and 144.86 is: 218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.83 : 263.20 = 144.86 : x
  2. Step 2: Convert to fraction form
    174.83/263.20 = 144.86/x
  3. Step 3: Cross multiply
    174.83x = 263.20 × 144.86
  4. Step 4: Simplify right side
    174.83x = 38,125.84
  5. Step 5: Solve for x
    x = 38,125.84/174.83
  6. Step 6: Final answer
    x = 218.08

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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.