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Finding the Fourth Proportional to 456.09, 684.06 and 294.90

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Solution

The fourth proportional to 456.09, 684.06 and 294.90 is: 442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.09 : 684.06 = 294.90 : x
  2. Step 2: Convert to fraction form
    456.09/684.06 = 294.90/x
  3. Step 3: Cross multiply
    456.09x = 684.06 × 294.90
  4. Step 4: Simplify right side
    456.09x = 201,729.29
  5. Step 5: Solve for x
    x = 201,729.29/456.09
  6. Step 6: Final answer
    x = 442.30

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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.