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Finding the Fourth Proportional to 253.19, 381.17 and 172.55

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Solution

The fourth proportional to 253.19, 381.17 and 172.55 is: 259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.19 : 381.17 = 172.55 : x
  2. Step 2: Convert to fraction form
    253.19/381.17 = 172.55/x
  3. Step 3: Cross multiply
    253.19x = 381.17 × 172.55
  4. Step 4: Simplify right side
    253.19x = 65,770.12
  5. Step 5: Solve for x
    x = 65,770.12/253.19
  6. Step 6: Final answer
    x = 259.76

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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.