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Finding the Fourth Proportional to 348.74, 480.77 and 265.41

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Solution

The fourth proportional to 348.74, 480.77 and 265.41 is: 365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.74 : 480.77 = 265.41 : x
  2. Step 2: Convert to fraction form
    348.74/480.77 = 265.41/x
  3. Step 3: Cross multiply
    348.74x = 480.77 × 265.41
  4. Step 4: Simplify right side
    348.74x = 127,601.17
  5. Step 5: Solve for x
    x = 127,601.17/348.74
  6. Step 6: Final answer
    x = 365.89

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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.