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Finding the Fourth Proportional to 434.36, 599.54 and 277.08

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Solution

The fourth proportional to 434.36, 599.54 and 277.08 is: 382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.36 : 599.54 = 277.08 : x
  2. Step 2: Convert to fraction form
    434.36/599.54 = 277.08/x
  3. Step 3: Cross multiply
    434.36x = 599.54 × 277.08
  4. Step 4: Simplify right side
    434.36x = 166,120.54
  5. Step 5: Solve for x
    x = 166,120.54/434.36
  6. Step 6: Final answer
    x = 382.45

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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.