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Finding the Fourth Proportional to 211.06, 291.02 and 148.86

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Solution

The fourth proportional to 211.06, 291.02 and 148.86 is: 205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.06 : 291.02 = 148.86 : x
  2. Step 2: Convert to fraction form
    211.06/291.02 = 148.86/x
  3. Step 3: Cross multiply
    211.06x = 291.02 × 148.86
  4. Step 4: Simplify right side
    211.06x = 43,321.24
  5. Step 5: Solve for x
    x = 43,321.24/211.06
  6. Step 6: Final answer
    x = 205.26

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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.