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Finding the Fourth Proportional to 210.79, 314.12 and 204.54

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Solution

The fourth proportional to 210.79, 314.12 and 204.54 is: 304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.79 : 314.12 = 204.54 : x
  2. Step 2: Convert to fraction form
    210.79/314.12 = 204.54/x
  3. Step 3: Cross multiply
    210.79x = 314.12 × 204.54
  4. Step 4: Simplify right side
    210.79x = 64,250.10
  5. Step 5: Solve for x
    x = 64,250.10/210.79
  6. Step 6: Final answer
    x = 304.81

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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.