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Finding the Fourth Proportional to 210.90, 314.76 and 205.43

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Solution

The fourth proportional to 210.90, 314.76 and 205.43 is: 306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.90 : 314.76 = 205.43 : x
  2. Step 2: Convert to fraction form
    210.90/314.76 = 205.43/x
  3. Step 3: Cross multiply
    210.90x = 314.76 × 205.43
  4. Step 4: Simplify right side
    210.90x = 64,660.91
  5. Step 5: Solve for x
    x = 64,660.91/210.90
  6. Step 6: Final answer
    x = 306.60

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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.