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Finding the Fourth Proportional to 320.25, 442.36 and 246.95

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Solution

The fourth proportional to 320.25, 442.36 and 246.95 is: 341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.25 : 442.36 = 246.95 : x
  2. Step 2: Convert to fraction form
    320.25/442.36 = 246.95/x
  3. Step 3: Cross multiply
    320.25x = 442.36 × 246.95
  4. Step 4: Simplify right side
    320.25x = 109,240.56
  5. Step 5: Solve for x
    x = 109,240.56/320.25
  6. Step 6: Final answer
    x = 341.11

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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.