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Finding the Fourth Proportional to 162.71, 222.91 and 156.55

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Solution

The fourth proportional to 162.71, 222.91 and 156.55 is: 214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.71 : 222.91 = 156.55 : x
  2. Step 2: Convert to fraction form
    162.71/222.91 = 156.55/x
  3. Step 3: Cross multiply
    162.71x = 222.91 × 156.55
  4. Step 4: Simplify right side
    162.71x = 34,895.45
  5. Step 5: Solve for x
    x = 34,895.45/162.71
  6. Step 6: Final answer
    x = 214.46

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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.