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Finding the Fourth Proportional to 291.52, 434.92 and 283.84

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Solution

The fourth proportional to 291.52, 434.92 and 283.84 is: 423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.52 : 434.92 = 283.84 : x
  2. Step 2: Convert to fraction form
    291.52/434.92 = 283.84/x
  3. Step 3: Cross multiply
    291.52x = 434.92 × 283.84
  4. Step 4: Simplify right side
    291.52x = 123,447.69
  5. Step 5: Solve for x
    x = 123,447.69/291.52
  6. Step 6: Final answer
    x = 423.46

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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.