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Finding the Fourth Proportional to 210.61, 314.42 and 193.33

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Solution

The fourth proportional to 210.61, 314.42 and 193.33 is: 288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.61 : 314.42 = 193.33 : x
  2. Step 2: Convert to fraction form
    210.61/314.42 = 193.33/x
  3. Step 3: Cross multiply
    210.61x = 314.42 × 193.33
  4. Step 4: Simplify right side
    210.61x = 60,786.82
  5. Step 5: Solve for x
    x = 60,786.82/210.61
  6. Step 6: Final answer
    x = 288.62

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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.