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Finding the Fourth Proportional to 455.01, 681.90 and 238.14

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Solution

The fourth proportional to 455.01, 681.90 and 238.14 is: 356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.01 : 681.90 = 238.14 : x
  2. Step 2: Convert to fraction form
    455.01/681.90 = 238.14/x
  3. Step 3: Cross multiply
    455.01x = 681.90 × 238.14
  4. Step 4: Simplify right side
    455.01x = 162,387.67
  5. Step 5: Solve for x
    x = 162,387.67/455.01
  6. Step 6: Final answer
    x = 356.89

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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.