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Finding the Fourth Proportional to 289.10, 435.59 and 238.87

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Solution

The fourth proportional to 289.10, 435.59 and 238.87 is: 359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.10 : 435.59 = 238.87 : x
  2. Step 2: Convert to fraction form
    289.10/435.59 = 238.87/x
  3. Step 3: Cross multiply
    289.10x = 435.59 × 238.87
  4. Step 4: Simplify right side
    289.10x = 104,048.89
  5. Step 5: Solve for x
    x = 104,048.89/289.10
  6. Step 6: Final answer
    x = 359.91

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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.