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Finding the Fourth Proportional to 152.82, 211 and 109.20

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Solution

The fourth proportional to 152.82, 211 and 109.20 is: 150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.82 : 211 = 109.20 : x
  2. Step 2: Convert to fraction form
    152.82/211 = 109.20/x
  3. Step 3: Cross multiply
    152.82x = 211 × 109.20
  4. Step 4: Simplify right side
    152.82x = 23,041.20
  5. Step 5: Solve for x
    x = 23,041.20/152.82
  6. Step 6: Final answer
    x = 150.77

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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.