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Finding the Fourth Proportional to 288.69, 435 and 238.45

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Solution

The fourth proportional to 288.69, 435 and 238.45 is: 359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.69 : 435 = 238.45 : x
  2. Step 2: Convert to fraction form
    288.69/435 = 238.45/x
  3. Step 3: Cross multiply
    288.69x = 435 × 238.45
  4. Step 4: Simplify right side
    288.69x = 103,725.75
  5. Step 5: Solve for x
    x = 103,725.75/288.69
  6. Step 6: Final answer
    x = 359.30

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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.