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Finding the Fourth Proportional to 210.46, 315.74 and 107.74

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Solution

The fourth proportional to 210.46, 315.74 and 107.74 is: 161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.46 : 315.74 = 107.74 : x
  2. Step 2: Convert to fraction form
    210.46/315.74 = 107.74/x
  3. Step 3: Cross multiply
    210.46x = 315.74 × 107.74
  4. Step 4: Simplify right side
    210.46x = 34,017.83
  5. Step 5: Solve for x
    x = 34,017.83/210.46
  6. Step 6: Final answer
    x = 161.64

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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.