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Finding the Fourth Proportional to 213.96, 320.32 and 176.96

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Solution

The fourth proportional to 213.96, 320.32 and 176.96 is: 264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.96 : 320.32 = 176.96 : x
  2. Step 2: Convert to fraction form
    213.96/320.32 = 176.96/x
  3. Step 3: Cross multiply
    213.96x = 320.32 × 176.96
  4. Step 4: Simplify right side
    213.96x = 56,683.83
  5. Step 5: Solve for x
    x = 56,683.83/213.96
  6. Step 6: Final answer
    x = 264.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.