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Finding the Fourth Proportional to 296.66, 443.31 and 289.82

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Solution

The fourth proportional to 296.66, 443.31 and 289.82 is: 433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.66 : 443.31 = 289.82 : x
  2. Step 2: Convert to fraction form
    296.66/443.31 = 289.82/x
  3. Step 3: Cross multiply
    296.66x = 443.31 × 289.82
  4. Step 4: Simplify right side
    296.66x = 128,480.10
  5. Step 5: Solve for x
    x = 128,480.10/296.66
  6. Step 6: Final answer
    x = 433.09

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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.