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Finding the Fourth Proportional to 348.34, 480.36 and 264.52

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Solution

The fourth proportional to 348.34, 480.36 and 264.52 is: 364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.34 : 480.36 = 264.52 : x
  2. Step 2: Convert to fraction form
    348.34/480.36 = 264.52/x
  3. Step 3: Cross multiply
    348.34x = 480.36 × 264.52
  4. Step 4: Simplify right side
    348.34x = 127,064.83
  5. Step 5: Solve for x
    x = 127,064.83/348.34
  6. Step 6: Final answer
    x = 364.77

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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.