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Finding the Fourth Proportional to 210.57, 314.12 and 195.84

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Solution

The fourth proportional to 210.57, 314.12 and 195.84 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.57 : 314.12 = 195.84 : x
  2. Step 2: Convert to fraction form
    210.57/314.12 = 195.84/x
  3. Step 3: Cross multiply
    210.57x = 314.12 × 195.84
  4. Step 4: Simplify right side
    210.57x = 61,517.26
  5. Step 5: Solve for x
    x = 61,517.26/210.57
  6. Step 6: Final answer
    x = 292.15

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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.