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Finding the Fourth Proportional to 438.09, 603.74 and 313.54

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Solution

The fourth proportional to 438.09, 603.74 and 313.54 is: 432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.09 : 603.74 = 313.54 : x
  2. Step 2: Convert to fraction form
    438.09/603.74 = 313.54/x
  3. Step 3: Cross multiply
    438.09x = 603.74 × 313.54
  4. Step 4: Simplify right side
    438.09x = 189,292.05
  5. Step 5: Solve for x
    x = 189,292.05/438.09
  6. Step 6: Final answer
    x = 432.08

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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.