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Finding the Fourth Proportional to 455.25, 681.87 and 357.09

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Solution

The fourth proportional to 455.25, 681.87 and 357.09 is: 534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.25 : 681.87 = 357.09 : x
  2. Step 2: Convert to fraction form
    455.25/681.87 = 357.09/x
  3. Step 3: Cross multiply
    455.25x = 681.87 × 357.09
  4. Step 4: Simplify right side
    455.25x = 243,488.96
  5. Step 5: Solve for x
    x = 243,488.96/455.25
  6. Step 6: Final answer
    x = 534.85

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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.