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Finding the Fourth Proportional to 210.05, 312.91 and 203.68

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Solution

The fourth proportional to 210.05, 312.91 and 203.68 is: 303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.05 : 312.91 = 203.68 : x
  2. Step 2: Convert to fraction form
    210.05/312.91 = 203.68/x
  3. Step 3: Cross multiply
    210.05x = 312.91 × 203.68
  4. Step 4: Simplify right side
    210.05x = 63,733.51
  5. Step 5: Solve for x
    x = 63,733.51/210.05
  6. Step 6: Final answer
    x = 303.42

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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.