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Finding the Fourth Proportional to 478.07, 716.80 and 204.09

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Solution

The fourth proportional to 478.07, 716.80 and 204.09 is: 306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.07 : 716.80 = 204.09 : x
  2. Step 2: Convert to fraction form
    478.07/716.80 = 204.09/x
  3. Step 3: Cross multiply
    478.07x = 716.80 × 204.09
  4. Step 4: Simplify right side
    478.07x = 146,291.20
  5. Step 5: Solve for x
    x = 146,291.20/478.07
  6. Step 6: Final answer
    x = 306.00

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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.