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Finding the Fourth Proportional to 116.63, 174.91 and 39.60

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Solution

The fourth proportional to 116.63, 174.91 and 39.60 is: 59.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.63 : 174.91 = 39.60 : x
  2. Step 2: Convert to fraction form
    116.63/174.91 = 39.60/x
  3. Step 3: Cross multiply
    116.63x = 174.91 × 39.60
  4. Step 4: Simplify right side
    116.63x = 6,925.56
  5. Step 5: Solve for x
    x = 6,925.56/116.63
  6. Step 6: Final answer
    x = 59.38

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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.