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Finding the Fourth Proportional to 211.08, 290.70 and 178.08

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Solution

The fourth proportional to 211.08, 290.70 and 178.08 is: 245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.08 : 290.70 = 178.08 : x
  2. Step 2: Convert to fraction form
    211.08/290.70 = 178.08/x
  3. Step 3: Cross multiply
    211.08x = 290.70 × 178.08
  4. Step 4: Simplify right side
    211.08x = 51,767.86
  5. Step 5: Solve for x
    x = 51,767.86/211.08
  6. Step 6: Final answer
    x = 245.25

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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.