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Finding the Fourth Proportional to 296.46, 446.18 and 266.63

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Solution

The fourth proportional to 296.46, 446.18 and 266.63 is: 401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.46 : 446.18 = 266.63 : x
  2. Step 2: Convert to fraction form
    296.46/446.18 = 266.63/x
  3. Step 3: Cross multiply
    296.46x = 446.18 × 266.63
  4. Step 4: Simplify right side
    296.46x = 118,961.41
  5. Step 5: Solve for x
    x = 118,961.41/296.46
  6. Step 6: Final answer
    x = 401.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.