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Finding the Fourth Proportional to 482.55, 724.08 and 208.65

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Solution

The fourth proportional to 482.55, 724.08 and 208.65 is: 313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.55 : 724.08 = 208.65 : x
  2. Step 2: Convert to fraction form
    482.55/724.08 = 208.65/x
  3. Step 3: Cross multiply
    482.55x = 724.08 × 208.65
  4. Step 4: Simplify right side
    482.55x = 151,079.29
  5. Step 5: Solve for x
    x = 151,079.29/482.55
  6. Step 6: Final answer
    x = 313.09

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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.