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Finding the Fourth Proportional to 294.41, 438.36 and 290.03

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Solution

The fourth proportional to 294.41, 438.36 and 290.03 is: 431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.41 : 438.36 = 290.03 : x
  2. Step 2: Convert to fraction form
    294.41/438.36 = 290.03/x
  3. Step 3: Cross multiply
    294.41x = 438.36 × 290.03
  4. Step 4: Simplify right side
    294.41x = 127,135.36
  5. Step 5: Solve for x
    x = 127,135.36/294.41
  6. Step 6: Final answer
    x = 431.84

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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.