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Finding the Fourth Proportional to 437.98, 603.93 and 298.12

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Solution

The fourth proportional to 437.98, 603.93 and 298.12 is: 411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.98 : 603.93 = 298.12 : x
  2. Step 2: Convert to fraction form
    437.98/603.93 = 298.12/x
  3. Step 3: Cross multiply
    437.98x = 603.93 × 298.12
  4. Step 4: Simplify right side
    437.98x = 180,042.10
  5. Step 5: Solve for x
    x = 180,042.10/437.98
  6. Step 6: Final answer
    x = 411.08

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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.