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Finding the Fourth Proportional to 294.40, 442.20 and 259.16

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Solution

The fourth proportional to 294.40, 442.20 and 259.16 is: 389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.40 : 442.20 = 259.16 : x
  2. Step 2: Convert to fraction form
    294.40/442.20 = 259.16/x
  3. Step 3: Cross multiply
    294.40x = 442.20 × 259.16
  4. Step 4: Simplify right side
    294.40x = 114,600.55
  5. Step 5: Solve for x
    x = 114,600.55/294.40
  6. Step 6: Final answer
    x = 389.27

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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.