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Finding the Fourth Proportional to 253.53, 381.71 and 218.30

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Solution

The fourth proportional to 253.53, 381.71 and 218.30 is: 328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.53 : 381.71 = 218.30 : x
  2. Step 2: Convert to fraction form
    253.53/381.71 = 218.30/x
  3. Step 3: Cross multiply
    253.53x = 381.71 × 218.30
  4. Step 4: Simplify right side
    253.53x = 83,325.93
  5. Step 5: Solve for x
    x = 83,325.93/253.53
  6. Step 6: Final answer
    x = 328.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.