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Finding the Fourth Proportional to 438.29, 604.73 and 296.76

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Solution

The fourth proportional to 438.29, 604.73 and 296.76 is: 409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.29 : 604.73 = 296.76 : x
  2. Step 2: Convert to fraction form
    438.29/604.73 = 296.76/x
  3. Step 3: Cross multiply
    438.29x = 604.73 × 296.76
  4. Step 4: Simplify right side
    438.29x = 179,460.98
  5. Step 5: Solve for x
    x = 179,460.98/438.29
  6. Step 6: Final answer
    x = 409.46

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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.