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Finding the Fourth Proportional to 349.94, 483.23 and 287.67

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Solution

The fourth proportional to 349.94, 483.23 and 287.67 is: 397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.94 : 483.23 = 287.67 : x
  2. Step 2: Convert to fraction form
    349.94/483.23 = 287.67/x
  3. Step 3: Cross multiply
    349.94x = 483.23 × 287.67
  4. Step 4: Simplify right side
    349.94x = 139,010.77
  5. Step 5: Solve for x
    x = 139,010.77/349.94
  6. Step 6: Final answer
    x = 397.24

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Why These Related Problems?

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