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Finding the Fourth Proportional to 159.86, 221.46 and 156.08

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Solution

The fourth proportional to 159.86, 221.46 and 156.08 is: 216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.86 : 221.46 = 156.08 : x
  2. Step 2: Convert to fraction form
    159.86/221.46 = 156.08/x
  3. Step 3: Cross multiply
    159.86x = 221.46 × 156.08
  4. Step 4: Simplify right side
    159.86x = 34,564.37
  5. Step 5: Solve for x
    x = 34,564.37/159.86
  6. Step 6: Final answer
    x = 216.22

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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.