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Finding the Fourth Proportional to 425.30, 635.36 and 269.98

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Solution

The fourth proportional to 425.30, 635.36 and 269.98 is: 403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.30 : 635.36 = 269.98 : x
  2. Step 2: Convert to fraction form
    425.30/635.36 = 269.98/x
  3. Step 3: Cross multiply
    425.30x = 635.36 × 269.98
  4. Step 4: Simplify right side
    425.30x = 171,535.17
  5. Step 5: Solve for x
    x = 171,535.17/425.30
  6. Step 6: Final answer
    x = 403.33

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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.