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Finding the Fourth Proportional to 252.95, 377.78 and 212.36

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Solution

The fourth proportional to 252.95, 377.78 and 212.36 is: 317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.95 : 377.78 = 212.36 : x
  2. Step 2: Convert to fraction form
    252.95/377.78 = 212.36/x
  3. Step 3: Cross multiply
    252.95x = 377.78 × 212.36
  4. Step 4: Simplify right side
    252.95x = 80,225.36
  5. Step 5: Solve for x
    x = 80,225.36/252.95
  6. Step 6: Final answer
    x = 317.16

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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.