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Finding the Fourth Proportional to 296.71, 446.66 and 266.94

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Solution

The fourth proportional to 296.71, 446.66 and 266.94 is: 401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.71 : 446.66 = 266.94 : x
  2. Step 2: Convert to fraction form
    296.71/446.66 = 266.94/x
  3. Step 3: Cross multiply
    296.71x = 446.66 × 266.94
  4. Step 4: Simplify right side
    296.71x = 119,231.42
  5. Step 5: Solve for x
    x = 119,231.42/296.71
  6. Step 6: Final answer
    x = 401.85

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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.