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Finding the Fourth Proportional to 293.94, 438.06 and 291.51

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Solution

The fourth proportional to 293.94, 438.06 and 291.51 is: 434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.94 : 438.06 = 291.51 : x
  2. Step 2: Convert to fraction form
    293.94/438.06 = 291.51/x
  3. Step 3: Cross multiply
    293.94x = 438.06 × 291.51
  4. Step 4: Simplify right side
    293.94x = 127,698.87
  5. Step 5: Solve for x
    x = 127,698.87/293.94
  6. Step 6: Final answer
    x = 434.44

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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.