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Finding the Fourth Proportional to 345.10, 475.82 and 257.62

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Solution

The fourth proportional to 345.10, 475.82 and 257.62 is: 355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.10 : 475.82 = 257.62 : x
  2. Step 2: Convert to fraction form
    345.10/475.82 = 257.62/x
  3. Step 3: Cross multiply
    345.10x = 475.82 × 257.62
  4. Step 4: Simplify right side
    345.10x = 122,580.75
  5. Step 5: Solve for x
    x = 122,580.75/345.10
  6. Step 6: Final answer
    x = 355.20

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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.