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Finding the Fourth Proportional to 210.39, 314.27 and 173.94

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Solution

The fourth proportional to 210.39, 314.27 and 173.94 is: 259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.39 : 314.27 = 173.94 : x
  2. Step 2: Convert to fraction form
    210.39/314.27 = 173.94/x
  3. Step 3: Cross multiply
    210.39x = 314.27 × 173.94
  4. Step 4: Simplify right side
    210.39x = 54,664.12
  5. Step 5: Solve for x
    x = 54,664.12/210.39
  6. Step 6: Final answer
    x = 259.82

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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.