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Finding the Fourth Proportional to 434.74, 599.94 and 257.71

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Solution

The fourth proportional to 434.74, 599.94 and 257.71 is: 355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.74 : 599.94 = 257.71 : x
  2. Step 2: Convert to fraction form
    434.74/599.94 = 257.71/x
  3. Step 3: Cross multiply
    434.74x = 599.94 × 257.71
  4. Step 4: Simplify right side
    434.74x = 154,610.54
  5. Step 5: Solve for x
    x = 154,610.54/434.74
  6. Step 6: Final answer
    x = 355.64

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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.