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Finding the Fourth Proportional to 434.70, 599.91 and 257.80

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Solution

The fourth proportional to 434.70, 599.91 and 257.80 is: 355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.70 : 599.91 = 257.80 : x
  2. Step 2: Convert to fraction form
    434.70/599.91 = 257.80/x
  3. Step 3: Cross multiply
    434.70x = 599.91 × 257.80
  4. Step 4: Simplify right side
    434.70x = 154,655.51
  5. Step 5: Solve for x
    x = 154,655.51/434.70
  6. Step 6: Final answer
    x = 355.78

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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.