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Finding the Fourth Proportional to 210.36, 313.32 and 205.68

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Solution

The fourth proportional to 210.36, 313.32 and 205.68 is: 306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.36 : 313.32 = 205.68 : x
  2. Step 2: Convert to fraction form
    210.36/313.32 = 205.68/x
  3. Step 3: Cross multiply
    210.36x = 313.32 × 205.68
  4. Step 4: Simplify right side
    210.36x = 64,443.66
  5. Step 5: Solve for x
    x = 64,443.66/210.36
  6. Step 6: Final answer
    x = 306.35

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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.