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Finding the Fourth Proportional to 294.12, 438.64 and 251.06

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Solution

The fourth proportional to 294.12, 438.64 and 251.06 is: 374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.12 : 438.64 = 251.06 : x
  2. Step 2: Convert to fraction form
    294.12/438.64 = 251.06/x
  3. Step 3: Cross multiply
    294.12x = 438.64 × 251.06
  4. Step 4: Simplify right side
    294.12x = 110,124.96
  5. Step 5: Solve for x
    x = 110,124.96/294.12
  6. Step 6: Final answer
    x = 374.42

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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.