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Finding the Fourth Proportional to 455.93, 684 and 131.31

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Solution

The fourth proportional to 455.93, 684 and 131.31 is: 197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.93 : 684 = 131.31 : x
  2. Step 2: Convert to fraction form
    455.93/684 = 131.31/x
  3. Step 3: Cross multiply
    455.93x = 684 × 131.31
  4. Step 4: Simplify right side
    455.93x = 89,816.04
  5. Step 5: Solve for x
    x = 89,816.04/455.93
  6. Step 6: Final answer
    x = 197.00

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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.