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Finding the Fourth Proportional to 503.81, 755.10 and 214.64

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Solution

The fourth proportional to 503.81, 755.10 and 214.64 is: 321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.81 : 755.10 = 214.64 : x
  2. Step 2: Convert to fraction form
    503.81/755.10 = 214.64/x
  3. Step 3: Cross multiply
    503.81x = 755.10 × 214.64
  4. Step 4: Simplify right side
    503.81x = 162,074.66
  5. Step 5: Solve for x
    x = 162,074.66/503.81
  6. Step 6: Final answer
    x = 321.70

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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.