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Finding the Fourth Proportional to 160.47, 239.62 and 140.81

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Solution

The fourth proportional to 160.47, 239.62 and 140.81 is: 210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.47 : 239.62 = 140.81 : x
  2. Step 2: Convert to fraction form
    160.47/239.62 = 140.81/x
  3. Step 3: Cross multiply
    160.47x = 239.62 × 140.81
  4. Step 4: Simplify right side
    160.47x = 33,739.47
  5. Step 5: Solve for x
    x = 33,739.47/160.47
  6. Step 6: Final answer
    x = 210.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.