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Finding the Fourth Proportional to 289.34, 436.43 and 272.50

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Solution

The fourth proportional to 289.34, 436.43 and 272.50 is: 411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.34 : 436.43 = 272.50 : x
  2. Step 2: Convert to fraction form
    289.34/436.43 = 272.50/x
  3. Step 3: Cross multiply
    289.34x = 436.43 × 272.50
  4. Step 4: Simplify right side
    289.34x = 118,923.63
  5. Step 5: Solve for x
    x = 118,923.63/289.34
  6. Step 6: Final answer
    x = 411.02

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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.