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Finding the Fourth Proportional to 294.84, 442.06 and 213.64

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Solution

The fourth proportional to 294.84, 442.06 and 213.64 is: 320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.84 : 442.06 = 213.64 : x
  2. Step 2: Convert to fraction form
    294.84/442.06 = 213.64/x
  3. Step 3: Cross multiply
    294.84x = 442.06 × 213.64
  4. Step 4: Simplify right side
    294.84x = 94,440.06
  5. Step 5: Solve for x
    x = 94,440.06/294.84
  6. Step 6: Final answer
    x = 320.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.