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Finding the Fourth Proportional to 307.52, 423.60 and 287.36

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Solution

The fourth proportional to 307.52, 423.60 and 287.36 is: 395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.52 : 423.60 = 287.36 : x
  2. Step 2: Convert to fraction form
    307.52/423.60 = 287.36/x
  3. Step 3: Cross multiply
    307.52x = 423.60 × 287.36
  4. Step 4: Simplify right side
    307.52x = 121,725.70
  5. Step 5: Solve for x
    x = 121,725.70/307.52
  6. Step 6: Final answer
    x = 395.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.