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Finding the Fourth Proportional to 253.44, 378.59 and 214.74

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Solution

The fourth proportional to 253.44, 378.59 and 214.74 is: 320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.44 : 378.59 = 214.74 : x
  2. Step 2: Convert to fraction form
    253.44/378.59 = 214.74/x
  3. Step 3: Cross multiply
    253.44x = 378.59 × 214.74
  4. Step 4: Simplify right side
    253.44x = 81,297.34
  5. Step 5: Solve for x
    x = 81,297.34/253.44
  6. Step 6: Final answer
    x = 320.78

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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.