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Finding the Fourth Proportional to 365.00, 503.70 and 207.60

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Solution

The fourth proportional to 365.00, 503.70 and 207.60 is: 286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.00 : 503.70 = 207.60 : x
  2. Step 2: Convert to fraction form
    365.00/503.70 = 207.60/x
  3. Step 3: Cross multiply
    365.00x = 503.70 × 207.60
  4. Step 4: Simplify right side
    365.00x = 104,568.29
  5. Step 5: Solve for x
    x = 104,568.29/365.00
  6. Step 6: Final answer
    x = 286.49

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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.