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Finding the Fourth Proportional to 364.90, 512.30 and 364.90

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Solution

The fourth proportional to 364.90, 512.30 and 364.90 is: 512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.90 : 512.30 = 364.90 : x
  2. Step 2: Convert to fraction form
    364.90/512.30 = 364.90/x
  3. Step 3: Cross multiply
    364.90x = 512.30 × 364.90
  4. Step 4: Simplify right side
    364.90x = 186,938.27
  5. Step 5: Solve for x
    x = 186,938.27/364.90
  6. Step 6: Final answer
    x = 512.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.