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Finding the Fourth Proportional to 158.94, 220.86 and 157.25

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Solution

The fourth proportional to 158.94, 220.86 and 157.25 is: 218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.94 : 220.86 = 157.25 : x
  2. Step 2: Convert to fraction form
    158.94/220.86 = 157.25/x
  3. Step 3: Cross multiply
    158.94x = 220.86 × 157.25
  4. Step 4: Simplify right side
    158.94x = 34,730.79
  5. Step 5: Solve for x
    x = 34,730.79/158.94
  6. Step 6: Final answer
    x = 218.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.