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Finding the Fourth Proportional to 423.61, 584.66 and 274.42

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Solution

The fourth proportional to 423.61, 584.66 and 274.42 is: 378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.61 : 584.66 = 274.42 : x
  2. Step 2: Convert to fraction form
    423.61/584.66 = 274.42/x
  3. Step 3: Cross multiply
    423.61x = 584.66 × 274.42
  4. Step 4: Simplify right side
    423.61x = 160,442.40
  5. Step 5: Solve for x
    x = 160,442.40/423.61
  6. Step 6: Final answer
    x = 378.75

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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.