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Finding the Fourth Proportional to 289.64, 436.42 and 239.41

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Solution

The fourth proportional to 289.64, 436.42 and 239.41 is: 360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.64 : 436.42 = 239.41 : x
  2. Step 2: Convert to fraction form
    289.64/436.42 = 239.41/x
  3. Step 3: Cross multiply
    289.64x = 436.42 × 239.41
  4. Step 4: Simplify right side
    289.64x = 104,482.12
  5. Step 5: Solve for x
    x = 104,482.12/289.64
  6. Step 6: Final answer
    x = 360.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.