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Finding the Fourth Proportional to 202.15, 278.40 and 165.16

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Solution

The fourth proportional to 202.15, 278.40 and 165.16 is: 227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.15 : 278.40 = 165.16 : x
  2. Step 2: Convert to fraction form
    202.15/278.40 = 165.16/x
  3. Step 3: Cross multiply
    202.15x = 278.40 × 165.16
  4. Step 4: Simplify right side
    202.15x = 45,980.54
  5. Step 5: Solve for x
    x = 45,980.54/202.15
  6. Step 6: Final answer
    x = 227.46

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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.