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Finding the Fourth Proportional to 424.25, 585.14 and 274.89

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Solution

The fourth proportional to 424.25, 585.14 and 274.89 is: 379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.25 : 585.14 = 274.89 : x
  2. Step 2: Convert to fraction form
    424.25/585.14 = 274.89/x
  3. Step 3: Cross multiply
    424.25x = 585.14 × 274.89
  4. Step 4: Simplify right side
    424.25x = 160,847.76
  5. Step 5: Solve for x
    x = 160,847.76/424.25
  6. Step 6: Final answer
    x = 379.14

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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.