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Finding the Fourth Proportional to 478.75, 718.25 and 201.06

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Solution

The fourth proportional to 478.75, 718.25 and 201.06 is: 301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.75 : 718.25 = 201.06 : x
  2. Step 2: Convert to fraction form
    478.75/718.25 = 201.06/x
  3. Step 3: Cross multiply
    478.75x = 718.25 × 201.06
  4. Step 4: Simplify right side
    478.75x = 144,410.48
  5. Step 5: Solve for x
    x = 144,410.48/478.75
  6. Step 6: Final answer
    x = 301.64

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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.