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Finding the Fourth Proportional to 170.47, 235.39 and 114.60

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Solution

The fourth proportional to 170.47, 235.39 and 114.60 is: 158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.47 : 235.39 = 114.60 : x
  2. Step 2: Convert to fraction form
    170.47/235.39 = 114.60/x
  3. Step 3: Cross multiply
    170.47x = 235.39 × 114.60
  4. Step 4: Simplify right side
    170.47x = 26,975.19
  5. Step 5: Solve for x
    x = 26,975.19/170.47
  6. Step 6: Final answer
    x = 158.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.