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Finding the Fourth Proportional to 365.76, 504.74 and 208.40

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Solution

The fourth proportional to 365.76, 504.74 and 208.40 is: 287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.76 : 504.74 = 208.40 : x
  2. Step 2: Convert to fraction form
    365.76/504.74 = 208.40/x
  3. Step 3: Cross multiply
    365.76x = 504.74 × 208.40
  4. Step 4: Simplify right side
    365.76x = 105,185.81
  5. Step 5: Solve for x
    x = 105,185.81/365.76
  6. Step 6: Final answer
    x = 287.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.