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Finding the Fourth Proportional to 203.03, 279.88 and 153.82

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Solution

The fourth proportional to 203.03, 279.88 and 153.82 is: 212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.03 : 279.88 = 153.82 : x
  2. Step 2: Convert to fraction form
    203.03/279.88 = 153.82/x
  3. Step 3: Cross multiply
    203.03x = 279.88 × 153.82
  4. Step 4: Simplify right side
    203.03x = 43,051.14
  5. Step 5: Solve for x
    x = 43,051.14/203.03
  6. Step 6: Final answer
    x = 212.04

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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.