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Finding the Fourth Proportional to 210.46, 289.96 and 157.92

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Solution

The fourth proportional to 210.46, 289.96 and 157.92 is: 217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.46 : 289.96 = 157.92 : x
  2. Step 2: Convert to fraction form
    210.46/289.96 = 157.92/x
  3. Step 3: Cross multiply
    210.46x = 289.96 × 157.92
  4. Step 4: Simplify right side
    210.46x = 45,790.48
  5. Step 5: Solve for x
    x = 45,790.48/210.46
  6. Step 6: Final answer
    x = 217.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.