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Finding the Fourth Proportional to 210.69, 314.22 and 199.76

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Solution

The fourth proportional to 210.69, 314.22 and 199.76 is: 297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.69 : 314.22 = 199.76 : x
  2. Step 2: Convert to fraction form
    210.69/314.22 = 199.76/x
  3. Step 3: Cross multiply
    210.69x = 314.22 × 199.76
  4. Step 4: Simplify right side
    210.69x = 62,767.02
  5. Step 5: Solve for x
    x = 62,767.02/210.69
  6. Step 6: Final answer
    x = 297.91

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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.