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Finding the Fourth Proportional to 478.74, 718.44 and 205.08

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Solution

The fourth proportional to 478.74, 718.44 and 205.08 is: 307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.74 : 718.44 = 205.08 : x
  2. Step 2: Convert to fraction form
    478.74/718.44 = 205.08/x
  3. Step 3: Cross multiply
    478.74x = 718.44 × 205.08
  4. Step 4: Simplify right side
    478.74x = 147,337.68
  5. Step 5: Solve for x
    x = 147,337.68/478.74
  6. Step 6: Final answer
    x = 307.76

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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.