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Finding the Fourth Proportional to 345.40, 475.94 and 257.96

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Solution

The fourth proportional to 345.40, 475.94 and 257.96 is: 355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.40 : 475.94 = 257.96 : x
  2. Step 2: Convert to fraction form
    345.40/475.94 = 257.96/x
  3. Step 3: Cross multiply
    345.40x = 475.94 × 257.96
  4. Step 4: Simplify right side
    345.40x = 122,773.48
  5. Step 5: Solve for x
    x = 122,773.48/345.40
  6. Step 6: Final answer
    x = 355.45

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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.