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Finding the Fourth Proportional to 210.82, 314.71 and 195.82

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Solution

The fourth proportional to 210.82, 314.71 and 195.82 is: 292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.82 : 314.71 = 195.82 : x
  2. Step 2: Convert to fraction form
    210.82/314.71 = 195.82/x
  3. Step 3: Cross multiply
    210.82x = 314.71 × 195.82
  4. Step 4: Simplify right side
    210.82x = 61,626.51
  5. Step 5: Solve for x
    x = 61,626.51/210.82
  6. Step 6: Final answer
    x = 292.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.