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Finding the Fourth Proportional to 455.42, 627.95 and 355.59

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Solution

The fourth proportional to 455.42, 627.95 and 355.59 is: 490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.42 : 627.95 = 355.59 : x
  2. Step 2: Convert to fraction form
    455.42/627.95 = 355.59/x
  3. Step 3: Cross multiply
    455.42x = 627.95 × 355.59
  4. Step 4: Simplify right side
    455.42x = 223,293.63
  5. Step 5: Solve for x
    x = 223,293.63/455.42
  6. Step 6: Final answer
    x = 490.30

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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.