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Finding the Fourth Proportional to 210.66, 313.60 and 200.72

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Solution

The fourth proportional to 210.66, 313.60 and 200.72 is: 298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.66 : 313.60 = 200.72 : x
  2. Step 2: Convert to fraction form
    210.66/313.60 = 200.72/x
  3. Step 3: Cross multiply
    210.66x = 313.60 × 200.72
  4. Step 4: Simplify right side
    210.66x = 62,945.79
  5. Step 5: Solve for x
    x = 62,945.79/210.66
  6. Step 6: Final answer
    x = 298.80

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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.