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Finding the Fourth Proportional to 210.87, 314.71 and 205.40

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Solution

The fourth proportional to 210.87, 314.71 and 205.40 is: 306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.87 : 314.71 = 205.40 : x
  2. Step 2: Convert to fraction form
    210.87/314.71 = 205.40/x
  3. Step 3: Cross multiply
    210.87x = 314.71 × 205.40
  4. Step 4: Simplify right side
    210.87x = 64,640.41
  5. Step 5: Solve for x
    x = 64,640.41/210.87
  6. Step 6: Final answer
    x = 306.54

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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.