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Finding the Fourth Proportional to 434.40, 599.30 and 257.34

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Solution

The fourth proportional to 434.40, 599.30 and 257.34 is: 355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.40 : 599.30 = 257.34 : x
  2. Step 2: Convert to fraction form
    434.40/599.30 = 257.34/x
  3. Step 3: Cross multiply
    434.40x = 599.30 × 257.34
  4. Step 4: Simplify right side
    434.40x = 154,222.58
  5. Step 5: Solve for x
    x = 154,222.58/434.40
  6. Step 6: Final answer
    x = 355.02

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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.