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Finding the Fourth Proportional to 434.77, 600.01 and 303.82

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Solution

The fourth proportional to 434.77, 600.01 and 303.82 is: 419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.77 : 600.01 = 303.82 : x
  2. Step 2: Convert to fraction form
    434.77/600.01 = 303.82/x
  3. Step 3: Cross multiply
    434.77x = 600.01 × 303.82
  4. Step 4: Simplify right side
    434.77x = 182,292.78
  5. Step 5: Solve for x
    x = 182,292.78/434.77
  6. Step 6: Final answer
    x = 419.29

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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.