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Finding the Fourth Proportional to 211.05, 291.51 and 145.44

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Solution

The fourth proportional to 211.05, 291.51 and 145.44 is: 200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.05 : 291.51 = 145.44 : x
  2. Step 2: Convert to fraction form
    211.05/291.51 = 145.44/x
  3. Step 3: Cross multiply
    211.05x = 291.51 × 145.44
  4. Step 4: Simplify right side
    211.05x = 42,397.21
  5. Step 5: Solve for x
    x = 42,397.21/211.05
  6. Step 6: Final answer
    x = 200.89

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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.