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Finding the Fourth Proportional to 253.34, 380.06 and 116.48

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Solution

The fourth proportional to 253.34, 380.06 and 116.48 is: 174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.34 : 380.06 = 116.48 : x
  2. Step 2: Convert to fraction form
    253.34/380.06 = 116.48/x
  3. Step 3: Cross multiply
    253.34x = 380.06 × 116.48
  4. Step 4: Simplify right side
    253.34x = 44,270.19
  5. Step 5: Solve for x
    x = 44,270.19/253.34
  6. Step 6: Final answer
    x = 174.75

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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.