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Finding the Fourth Proportional to 364.20, 503.02 and 282.30

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Solution

The fourth proportional to 364.20, 503.02 and 282.30 is: 389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.20 : 503.02 = 282.30 : x
  2. Step 2: Convert to fraction form
    364.20/503.02 = 282.30/x
  3. Step 3: Cross multiply
    364.20x = 503.02 × 282.30
  4. Step 4: Simplify right side
    364.20x = 142,002.55
  5. Step 5: Solve for x
    x = 142,002.55/364.20
  6. Step 6: Final answer
    x = 389.90

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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.