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Finding the Fourth Proportional to 455.90, 684.00 and 181.91

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Solution

The fourth proportional to 455.90, 684.00 and 181.91 is: 272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.90 : 684.00 = 181.91 : x
  2. Step 2: Convert to fraction form
    455.90/684.00 = 181.91/x
  3. Step 3: Cross multiply
    455.90x = 684.00 × 181.91
  4. Step 4: Simplify right side
    455.90x = 124,425.53
  5. Step 5: Solve for x
    x = 124,425.53/455.90
  6. Step 6: Final answer
    x = 272.93

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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.