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Finding the Fourth Proportional to 210.61, 314.61 and 205.15

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Solution

The fourth proportional to 210.61, 314.61 and 205.15 is: 306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.61 : 314.61 = 205.15 : x
  2. Step 2: Convert to fraction form
    210.61/314.61 = 205.15/x
  3. Step 3: Cross multiply
    210.61x = 314.61 × 205.15
  4. Step 4: Simplify right side
    210.61x = 64,540.53
  5. Step 5: Solve for x
    x = 64,540.53/210.61
  6. Step 6: Final answer
    x = 306.44

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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.