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Finding the Fourth Proportional to 255.96, 383.98 and 210.72

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Solution

The fourth proportional to 255.96, 383.98 and 210.72 is: 316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.96 : 383.98 = 210.72 : x
  2. Step 2: Convert to fraction form
    255.96/383.98 = 210.72/x
  3. Step 3: Cross multiply
    255.96x = 383.98 × 210.72
  4. Step 4: Simplify right side
    255.96x = 80,912.27
  5. Step 5: Solve for x
    x = 80,912.27/255.96
  6. Step 6: Final answer
    x = 316.11

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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.