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Finding the Fourth Proportional to 212.15, 316.39 and 193.93

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Solution

The fourth proportional to 212.15, 316.39 and 193.93 is: 289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.15 : 316.39 = 193.93 : x
  2. Step 2: Convert to fraction form
    212.15/316.39 = 193.93/x
  3. Step 3: Cross multiply
    212.15x = 316.39 × 193.93
  4. Step 4: Simplify right side
    212.15x = 61,357.51
  5. Step 5: Solve for x
    x = 61,357.51/212.15
  6. Step 6: Final answer
    x = 289.22

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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.