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Finding the Fourth Proportional to 210.76, 313.91 and 209.74

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Solution

The fourth proportional to 210.76, 313.91 and 209.74 is: 312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.76 : 313.91 = 209.74 : x
  2. Step 2: Convert to fraction form
    210.76/313.91 = 209.74/x
  3. Step 3: Cross multiply
    210.76x = 313.91 × 209.74
  4. Step 4: Simplify right side
    210.76x = 65,839.48
  5. Step 5: Solve for x
    x = 65,839.48/210.76
  6. Step 6: Final answer
    x = 312.39

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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.