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Finding the Fourth Proportional to 455.04, 682.47 and 130.33

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Solution

The fourth proportional to 455.04, 682.47 and 130.33 is: 195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.04 : 682.47 = 130.33 : x
  2. Step 2: Convert to fraction form
    455.04/682.47 = 130.33/x
  3. Step 3: Cross multiply
    455.04x = 682.47 × 130.33
  4. Step 4: Simplify right side
    455.04x = 88,946.32
  5. Step 5: Solve for x
    x = 88,946.32/455.04
  6. Step 6: Final answer
    x = 195.47

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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.