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Finding the Fourth Proportional to 289.35, 435.75 and 241.07

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Solution

The fourth proportional to 289.35, 435.75 and 241.07 is: 363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.35 : 435.75 = 241.07 : x
  2. Step 2: Convert to fraction form
    289.35/435.75 = 241.07/x
  3. Step 3: Cross multiply
    289.35x = 435.75 × 241.07
  4. Step 4: Simplify right side
    289.35x = 105,044.07
  5. Step 5: Solve for x
    x = 105,044.07/289.35
  6. Step 6: Final answer
    x = 363.03

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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.