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Finding the Fourth Proportional to 473.05, 708.94 and 212.95

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Solution

The fourth proportional to 473.05, 708.94 and 212.95 is: 319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.05 : 708.94 = 212.95 : x
  2. Step 2: Convert to fraction form
    473.05/708.94 = 212.95/x
  3. Step 3: Cross multiply
    473.05x = 708.94 × 212.95
  4. Step 4: Simplify right side
    473.05x = 150,968.77
  5. Step 5: Solve for x
    x = 150,968.77/473.05
  6. Step 6: Final answer
    x = 319.14

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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.