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Finding the Fourth Proportional to 285.04, 424.46 and 274

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Solution

The fourth proportional to 285.04, 424.46 and 274 is: 408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.04 : 424.46 = 274 : x
  2. Step 2: Convert to fraction form
    285.04/424.46 = 274/x
  3. Step 3: Cross multiply
    285.04x = 424.46 × 274
  4. Step 4: Simplify right side
    285.04x = 116,302.04
  5. Step 5: Solve for x
    x = 116,302.04/285.04
  6. Step 6: Final answer
    x = 408.02

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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.