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Finding the Fourth Proportional to 298.17, 446.70 and 266.00

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Solution

The fourth proportional to 298.17, 446.70 and 266.00 is: 398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.17 : 446.70 = 266.00 : x
  2. Step 2: Convert to fraction form
    298.17/446.70 = 266.00/x
  3. Step 3: Cross multiply
    298.17x = 446.70 × 266.00
  4. Step 4: Simplify right side
    298.17x = 118,819.47
  5. Step 5: Solve for x
    x = 118,819.47/298.17
  6. Step 6: Final answer
    x = 398.50

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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.