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Finding the Fourth Proportional to 452.30, 678.56 and 209.00

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Solution

The fourth proportional to 452.30, 678.56 and 209.00 is: 313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.30 : 678.56 = 209.00 : x
  2. Step 2: Convert to fraction form
    452.30/678.56 = 209.00/x
  3. Step 3: Cross multiply
    452.30x = 678.56 × 209.00
  4. Step 4: Simplify right side
    452.30x = 141,815.65
  5. Step 5: Solve for x
    x = 141,815.65/452.30
  6. Step 6: Final answer
    x = 313.55

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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.