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Finding the Fourth Proportional to 179.51, 246.59 and 157.64

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Solution

The fourth proportional to 179.51, 246.59 and 157.64 is: 216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.51 : 246.59 = 157.64 : x
  2. Step 2: Convert to fraction form
    179.51/246.59 = 157.64/x
  3. Step 3: Cross multiply
    179.51x = 246.59 × 157.64
  4. Step 4: Simplify right side
    179.51x = 38,870.43
  5. Step 5: Solve for x
    x = 38,870.43/179.51
  6. Step 6: Final answer
    x = 216.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.