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Finding the Fourth Proportional to 488.94, 675.02 and 339.78

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Solution

The fourth proportional to 488.94, 675.02 and 339.78 is: 469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.94 : 675.02 = 339.78 : x
  2. Step 2: Convert to fraction form
    488.94/675.02 = 339.78/x
  3. Step 3: Cross multiply
    488.94x = 675.02 × 339.78
  4. Step 4: Simplify right side
    488.94x = 229,356.60
  5. Step 5: Solve for x
    x = 229,356.60/488.94
  6. Step 6: Final answer
    x = 469.09

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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.