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Finding the Fourth Proportional to 253.02, 378.90 and 212.34

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Solution

The fourth proportional to 253.02, 378.90 and 212.34 is: 317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.02 : 378.90 = 212.34 : x
  2. Step 2: Convert to fraction form
    253.02/378.90 = 212.34/x
  3. Step 3: Cross multiply
    253.02x = 378.90 × 212.34
  4. Step 4: Simplify right side
    253.02x = 80,455.63
  5. Step 5: Solve for x
    x = 80,455.63/253.02
  6. Step 6: Final answer
    x = 317.98

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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.