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Finding the Fourth Proportional to 289.95, 436.91 and 239.72

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Solution

The fourth proportional to 289.95, 436.91 and 239.72 is: 361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.95 : 436.91 = 239.72 : x
  2. Step 2: Convert to fraction form
    289.95/436.91 = 239.72/x
  3. Step 3: Cross multiply
    289.95x = 436.91 × 239.72
  4. Step 4: Simplify right side
    289.95x = 104,736.27
  5. Step 5: Solve for x
    x = 104,736.27/289.95
  6. Step 6: Final answer
    x = 361.22

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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.