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Finding the Fourth Proportional to 160.21, 239.14 and 158.86

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Solution

The fourth proportional to 160.21, 239.14 and 158.86 is: 237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.21 : 239.14 = 158.86 : x
  2. Step 2: Convert to fraction form
    160.21/239.14 = 158.86/x
  3. Step 3: Cross multiply
    160.21x = 239.14 × 158.86
  4. Step 4: Simplify right side
    160.21x = 37,989.78
  5. Step 5: Solve for x
    x = 37,989.78/160.21
  6. Step 6: Final answer
    x = 237.12

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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.