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Finding the Fourth Proportional to 253.42, 380.19 and 114.53

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Solution

The fourth proportional to 253.42, 380.19 and 114.53 is: 171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.42 : 380.19 = 114.53 : x
  2. Step 2: Convert to fraction form
    253.42/380.19 = 114.53/x
  3. Step 3: Cross multiply
    253.42x = 380.19 × 114.53
  4. Step 4: Simplify right side
    253.42x = 43,543.72
  5. Step 5: Solve for x
    x = 43,543.72/253.42
  6. Step 6: Final answer
    x = 171.82

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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.