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Finding the Fourth Proportional to 320.26, 442.54 and 276.52

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Solution

The fourth proportional to 320.26, 442.54 and 276.52 is: 382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.26 : 442.54 = 276.52 : x
  2. Step 2: Convert to fraction form
    320.26/442.54 = 276.52/x
  3. Step 3: Cross multiply
    320.26x = 442.54 × 276.52
  4. Step 4: Simplify right side
    320.26x = 122,372.06
  5. Step 5: Solve for x
    x = 122,372.06/320.26
  6. Step 6: Final answer
    x = 382.10

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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.