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Finding the Fourth Proportional to 210.97, 314.48 and 194.57

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Solution

The fourth proportional to 210.97, 314.48 and 194.57 is: 290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.97 : 314.48 = 194.57 : x
  2. Step 2: Convert to fraction form
    210.97/314.48 = 194.57/x
  3. Step 3: Cross multiply
    210.97x = 314.48 × 194.57
  4. Step 4: Simplify right side
    210.97x = 61,188.47
  5. Step 5: Solve for x
    x = 61,188.47/210.97
  6. Step 6: Final answer
    x = 290.03

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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.