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Finding the Fourth Proportional to 277.65, 414.45 and 257.63

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Solution

The fourth proportional to 277.65, 414.45 and 257.63 is: 384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.65 : 414.45 = 257.63 : x
  2. Step 2: Convert to fraction form
    277.65/414.45 = 257.63/x
  3. Step 3: Cross multiply
    277.65x = 414.45 × 257.63
  4. Step 4: Simplify right side
    277.65x = 106,772.68
  5. Step 5: Solve for x
    x = 106,772.68/277.65
  6. Step 6: Final answer
    x = 384.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.