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Finding the Fourth Proportional to 210.85, 314.71 and 205.07

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Solution

The fourth proportional to 210.85, 314.71 and 205.07 is: 306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.85 : 314.71 = 205.07 : x
  2. Step 2: Convert to fraction form
    210.85/314.71 = 205.07/x
  3. Step 3: Cross multiply
    210.85x = 314.71 × 205.07
  4. Step 4: Simplify right side
    210.85x = 64,535.49
  5. Step 5: Solve for x
    x = 64,535.49/210.85
  6. Step 6: Final answer
    x = 306.08

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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.