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Finding the Fourth Proportional to 434.85, 599.85 and 257.76

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Solution

The fourth proportional to 434.85, 599.85 and 257.76 is: 355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.85 : 599.85 = 257.76 : x
  2. Step 2: Convert to fraction form
    434.85/599.85 = 257.76/x
  3. Step 3: Cross multiply
    434.85x = 599.85 × 257.76
  4. Step 4: Simplify right side
    434.85x = 154,617.34
  5. Step 5: Solve for x
    x = 154,617.34/434.85
  6. Step 6: Final answer
    x = 355.56

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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.