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Finding the Fourth Proportional to 455.59, 682.57 and 239.32

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Solution

The fourth proportional to 455.59, 682.57 and 239.32 is: 358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.59 : 682.57 = 239.32 : x
  2. Step 2: Convert to fraction form
    455.59/682.57 = 239.32/x
  3. Step 3: Cross multiply
    455.59x = 682.57 × 239.32
  4. Step 4: Simplify right side
    455.59x = 163,352.65
  5. Step 5: Solve for x
    x = 163,352.65/455.59
  6. Step 6: Final answer
    x = 358.55

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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.