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Finding the Fourth Proportional to 294.60, 445.24 and 291.36

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Solution

The fourth proportional to 294.60, 445.24 and 291.36 is: 440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.60 : 445.24 = 291.36 : x
  2. Step 2: Convert to fraction form
    294.60/445.24 = 291.36/x
  3. Step 3: Cross multiply
    294.60x = 445.24 × 291.36
  4. Step 4: Simplify right side
    294.60x = 129,725.13
  5. Step 5: Solve for x
    x = 129,725.13/294.60
  6. Step 6: Final answer
    x = 440.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.