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Finding the Fourth Proportional to 210.62, 314.12 and 206.77

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Solution

The fourth proportional to 210.62, 314.12 and 206.77 is: 308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.62 : 314.12 = 206.77 : x
  2. Step 2: Convert to fraction form
    210.62/314.12 = 206.77/x
  3. Step 3: Cross multiply
    210.62x = 314.12 × 206.77
  4. Step 4: Simplify right side
    210.62x = 64,950.59
  5. Step 5: Solve for x
    x = 64,950.59/210.62
  6. Step 6: Final answer
    x = 308.38

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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.