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Finding the Fourth Proportional to 425.03, 585.87 and 300.49

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Solution

The fourth proportional to 425.03, 585.87 and 300.49 is: 414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.03 : 585.87 = 300.49 : x
  2. Step 2: Convert to fraction form
    425.03/585.87 = 300.49/x
  3. Step 3: Cross multiply
    425.03x = 585.87 × 300.49
  4. Step 4: Simplify right side
    425.03x = 176,048.08
  5. Step 5: Solve for x
    x = 176,048.08/425.03
  6. Step 6: Final answer
    x = 414.20

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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.