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Finding the Fourth Proportional to 305.98, 458.15 and 257.38

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Solution

The fourth proportional to 305.98, 458.15 and 257.38 is: 385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.98 : 458.15 = 257.38 : x
  2. Step 2: Convert to fraction form
    305.98/458.15 = 257.38/x
  3. Step 3: Cross multiply
    305.98x = 458.15 × 257.38
  4. Step 4: Simplify right side
    305.98x = 117,918.65
  5. Step 5: Solve for x
    x = 117,918.65/305.98
  6. Step 6: Final answer
    x = 385.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.