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Finding the Fourth Proportional to 293.79, 438.41 and 263.04

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Solution

The fourth proportional to 293.79, 438.41 and 263.04 is: 392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.79 : 438.41 = 263.04 : x
  2. Step 2: Convert to fraction form
    293.79/438.41 = 263.04/x
  3. Step 3: Cross multiply
    293.79x = 438.41 × 263.04
  4. Step 4: Simplify right side
    293.79x = 115,319.37
  5. Step 5: Solve for x
    x = 115,319.37/293.79
  6. Step 6: Final answer
    x = 392.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.