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Finding the Fourth Proportional to 162.78, 224.64 and 103.80

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Solution

The fourth proportional to 162.78, 224.64 and 103.80 is: 143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.78 : 224.64 = 103.80 : x
  2. Step 2: Convert to fraction form
    162.78/224.64 = 103.80/x
  3. Step 3: Cross multiply
    162.78x = 224.64 × 103.80
  4. Step 4: Simplify right side
    162.78x = 23,317.63
  5. Step 5: Solve for x
    x = 23,317.63/162.78
  6. Step 6: Final answer
    x = 143.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.