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Finding the Fourth Proportional to 210.64, 315.56 and 164.70

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Solution

The fourth proportional to 210.64, 315.56 and 164.70 is: 246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.64 : 315.56 = 164.70 : x
  2. Step 2: Convert to fraction form
    210.64/315.56 = 164.70/x
  3. Step 3: Cross multiply
    210.64x = 315.56 × 164.70
  4. Step 4: Simplify right side
    210.64x = 51,972.73
  5. Step 5: Solve for x
    x = 51,972.73/210.64
  6. Step 6: Final answer
    x = 246.74

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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.