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Finding the Fourth Proportional to 429.23, 592.30 and 281.61

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Solution

The fourth proportional to 429.23, 592.30 and 281.61 is: 388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.23 : 592.30 = 281.61 : x
  2. Step 2: Convert to fraction form
    429.23/592.30 = 281.61/x
  3. Step 3: Cross multiply
    429.23x = 592.30 × 281.61
  4. Step 4: Simplify right side
    429.23x = 166,797.60
  5. Step 5: Solve for x
    x = 166,797.60/429.23
  6. Step 6: Final answer
    x = 388.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.