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Finding the Fourth Proportional to 263.94, 364.20 and 153.42

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Solution

The fourth proportional to 263.94, 364.20 and 153.42 is: 211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.94 : 364.20 = 153.42 : x
  2. Step 2: Convert to fraction form
    263.94/364.20 = 153.42/x
  3. Step 3: Cross multiply
    263.94x = 364.20 × 153.42
  4. Step 4: Simplify right side
    263.94x = 55,875.56
  5. Step 5: Solve for x
    x = 55,875.56/263.94
  6. Step 6: Final answer
    x = 211.70

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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.