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Finding the Fourth Proportional to 210.92, 317.71 and 188.36

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Solution

The fourth proportional to 210.92, 317.71 and 188.36 is: 283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.92 : 317.71 = 188.36 : x
  2. Step 2: Convert to fraction form
    210.92/317.71 = 188.36/x
  3. Step 3: Cross multiply
    210.92x = 317.71 × 188.36
  4. Step 4: Simplify right side
    210.92x = 59,843.86
  5. Step 5: Solve for x
    x = 59,843.86/210.92
  6. Step 6: Final answer
    x = 283.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.