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Finding the Fourth Proportional to 390.56, 538 and 365.60

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Solution

The fourth proportional to 390.56, 538 and 365.60 is: 503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.56 : 538 = 365.60 : x
  2. Step 2: Convert to fraction form
    390.56/538 = 365.60/x
  3. Step 3: Cross multiply
    390.56x = 538 × 365.60
  4. Step 4: Simplify right side
    390.56x = 196,692.80
  5. Step 5: Solve for x
    x = 196,692.80/390.56
  6. Step 6: Final answer
    x = 503.62

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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.