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Finding the Fourth Proportional to 455.66, 628.74 and 256.49

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Solution

The fourth proportional to 455.66, 628.74 and 256.49 is: 353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.66 : 628.74 = 256.49 : x
  2. Step 2: Convert to fraction form
    455.66/628.74 = 256.49/x
  3. Step 3: Cross multiply
    455.66x = 628.74 × 256.49
  4. Step 4: Simplify right side
    455.66x = 161,262.38
  5. Step 5: Solve for x
    x = 161,262.38/455.66
  6. Step 6: Final answer
    x = 353.91

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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.