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Finding the Fourth Proportional to 295.70, 441.50 and 266.54

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Solution

The fourth proportional to 295.70, 441.50 and 266.54 is: 397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.70 : 441.50 = 266.54 : x
  2. Step 2: Convert to fraction form
    295.70/441.50 = 266.54/x
  3. Step 3: Cross multiply
    295.70x = 441.50 × 266.54
  4. Step 4: Simplify right side
    295.70x = 117,677.41
  5. Step 5: Solve for x
    x = 117,677.41/295.70
  6. Step 6: Final answer
    x = 397.96

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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.