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Finding the Fourth Proportional to 210.64, 314.21 and 195.79

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Solution

The fourth proportional to 210.64, 314.21 and 195.79 is: 292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.64 : 314.21 = 195.79 : x
  2. Step 2: Convert to fraction form
    210.64/314.21 = 195.79/x
  3. Step 3: Cross multiply
    210.64x = 314.21 × 195.79
  4. Step 4: Simplify right side
    210.64x = 61,519.18
  5. Step 5: Solve for x
    x = 61,519.18/210.64
  6. Step 6: Final answer
    x = 292.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.