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Finding the Fourth Proportional to 253.77, 380.35 and 116.79

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Solution

The fourth proportional to 253.77, 380.35 and 116.79 is: 175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.77 : 380.35 = 116.79 : x
  2. Step 2: Convert to fraction form
    253.77/380.35 = 116.79/x
  3. Step 3: Cross multiply
    253.77x = 380.35 × 116.79
  4. Step 4: Simplify right side
    253.77x = 44,421.08
  5. Step 5: Solve for x
    x = 44,421.08/253.77
  6. Step 6: Final answer
    x = 175.04

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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.