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Finding the Fourth Proportional to 211.03, 290.79 and 158.58

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Solution

The fourth proportional to 211.03, 290.79 and 158.58 is: 218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.03 : 290.79 = 158.58 : x
  2. Step 2: Convert to fraction form
    211.03/290.79 = 158.58/x
  3. Step 3: Cross multiply
    211.03x = 290.79 × 158.58
  4. Step 4: Simplify right side
    211.03x = 46,113.48
  5. Step 5: Solve for x
    x = 46,113.48/211.03
  6. Step 6: Final answer
    x = 218.52

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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.