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Finding the Fourth Proportional to 482.15, 723.06 and 208.07

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Solution

The fourth proportional to 482.15, 723.06 and 208.07 is: 312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.15 : 723.06 = 208.07 : x
  2. Step 2: Convert to fraction form
    482.15/723.06 = 208.07/x
  3. Step 3: Cross multiply
    482.15x = 723.06 × 208.07
  4. Step 4: Simplify right side
    482.15x = 150,443.48
  5. Step 5: Solve for x
    x = 150,443.48/482.15
  6. Step 6: Final answer
    x = 312.03

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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.