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Finding the Fourth Proportional to 208.78, 288.40 and 150.86

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Solution

The fourth proportional to 208.78, 288.40 and 150.86 is: 208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.78 : 288.40 = 150.86 : x
  2. Step 2: Convert to fraction form
    208.78/288.40 = 150.86/x
  3. Step 3: Cross multiply
    208.78x = 288.40 × 150.86
  4. Step 4: Simplify right side
    208.78x = 43,508.37
  5. Step 5: Solve for x
    x = 43,508.37/208.78
  6. Step 6: Final answer
    x = 208.40

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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.