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Finding the Fourth Proportional to 293.19, 438.86 and 219.63

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Solution

The fourth proportional to 293.19, 438.86 and 219.63 is: 328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.19 : 438.86 = 219.63 : x
  2. Step 2: Convert to fraction form
    293.19/438.86 = 219.63/x
  3. Step 3: Cross multiply
    293.19x = 438.86 × 219.63
  4. Step 4: Simplify right side
    293.19x = 96,386.82
  5. Step 5: Solve for x
    x = 96,386.82/293.19
  6. Step 6: Final answer
    x = 328.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.