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Finding the Fourth Proportional to 478.66, 718.06 and 204.75

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Solution

The fourth proportional to 478.66, 718.06 and 204.75 is: 307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.66 : 718.06 = 204.75 : x
  2. Step 2: Convert to fraction form
    478.66/718.06 = 204.75/x
  3. Step 3: Cross multiply
    478.66x = 718.06 × 204.75
  4. Step 4: Simplify right side
    478.66x = 147,022.79
  5. Step 5: Solve for x
    x = 147,022.79/478.66
  6. Step 6: Final answer
    x = 307.15

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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.