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Finding the Fourth Proportional to 503.28, 755.17 and 210.98

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Solution

The fourth proportional to 503.28, 755.17 and 210.98 is: 316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.28 : 755.17 = 210.98 : x
  2. Step 2: Convert to fraction form
    503.28/755.17 = 210.98/x
  3. Step 3: Cross multiply
    503.28x = 755.17 × 210.98
  4. Step 4: Simplify right side
    503.28x = 159,327.13
  5. Step 5: Solve for x
    x = 159,327.13/503.28
  6. Step 6: Final answer
    x = 316.58

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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.