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Finding the Fourth Proportional to 210.37, 313.96 and 204.90

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Solution

The fourth proportional to 210.37, 313.96 and 204.90 is: 305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.37 : 313.96 = 204.90 : x
  2. Step 2: Convert to fraction form
    210.37/313.96 = 204.90/x
  3. Step 3: Cross multiply
    210.37x = 313.96 × 204.90
  4. Step 4: Simplify right side
    210.37x = 64,329.89
  5. Step 5: Solve for x
    x = 64,329.89/210.37
  6. Step 6: Final answer
    x = 305.80

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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.