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Finding the Fourth Proportional to 211.60, 291.79 and 145.27

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Solution

The fourth proportional to 211.60, 291.79 and 145.27 is: 200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.60 : 291.79 = 145.27 : x
  2. Step 2: Convert to fraction form
    211.60/291.79 = 145.27/x
  3. Step 3: Cross multiply
    211.60x = 291.79 × 145.27
  4. Step 4: Simplify right side
    211.60x = 42,387.85
  5. Step 5: Solve for x
    x = 42,387.85/211.60
  6. Step 6: Final answer
    x = 200.32

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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.