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Finding the Fourth Proportional to 434.63, 599.64 and 257.55

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Solution

The fourth proportional to 434.63, 599.64 and 257.55 is: 355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.63 : 599.64 = 257.55 : x
  2. Step 2: Convert to fraction form
    434.63/599.64 = 257.55/x
  3. Step 3: Cross multiply
    434.63x = 599.64 × 257.55
  4. Step 4: Simplify right side
    434.63x = 154,437.28
  5. Step 5: Solve for x
    x = 154,437.28/434.63
  6. Step 6: Final answer
    x = 355.33

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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.