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Finding the Fourth Proportional to 210.14, 314.80 and 197.38

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Solution

The fourth proportional to 210.14, 314.80 and 197.38 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.14 : 314.80 = 197.38 : x
  2. Step 2: Convert to fraction form
    210.14/314.80 = 197.38/x
  3. Step 3: Cross multiply
    210.14x = 314.80 × 197.38
  4. Step 4: Simplify right side
    210.14x = 62,135.22
  5. Step 5: Solve for x
    x = 62,135.22/210.14
  6. Step 6: Final answer
    x = 295.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.