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Finding the Fourth Proportional to 405.52, 608.38 and 116.96

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Solution

The fourth proportional to 405.52, 608.38 and 116.96 is: 175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.52 : 608.38 = 116.96 : x
  2. Step 2: Convert to fraction form
    405.52/608.38 = 116.96/x
  3. Step 3: Cross multiply
    405.52x = 608.38 × 116.96
  4. Step 4: Simplify right side
    405.52x = 71,156.12
  5. Step 5: Solve for x
    x = 71,156.12/405.52
  6. Step 6: Final answer
    x = 175.47

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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.