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Finding the Fourth Proportional to 253.09, 381.46 and 253.09

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Solution

The fourth proportional to 253.09, 381.46 and 253.09 is: 381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.09 : 381.46 = 253.09 : x
  2. Step 2: Convert to fraction form
    253.09/381.46 = 253.09/x
  3. Step 3: Cross multiply
    253.09x = 381.46 × 253.09
  4. Step 4: Simplify right side
    253.09x = 96,543.71
  5. Step 5: Solve for x
    x = 96,543.71/253.09
  6. Step 6: Final answer
    x = 381.46

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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.