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Finding the Fourth Proportional to 202.86, 278.91 and 180.51

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Solution

The fourth proportional to 202.86, 278.91 and 180.51 is: 248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.86 : 278.91 = 180.51 : x
  2. Step 2: Convert to fraction form
    202.86/278.91 = 180.51/x
  3. Step 3: Cross multiply
    202.86x = 278.91 × 180.51
  4. Step 4: Simplify right side
    202.86x = 50,345.14
  5. Step 5: Solve for x
    x = 50,345.14/202.86
  6. Step 6: Final answer
    x = 248.18

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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.