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Finding the Fourth Proportional to 368.20, 563.13 and 368.20

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Solution

The fourth proportional to 368.20, 563.13 and 368.20 is: 563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.20 : 563.13 = 368.20 : x
  2. Step 2: Convert to fraction form
    368.20/563.13 = 368.20/x
  3. Step 3: Cross multiply
    368.20x = 563.13 × 368.20
  4. Step 4: Simplify right side
    368.20x = 207,344.47
  5. Step 5: Solve for x
    x = 207,344.47/368.20
  6. Step 6: Final answer
    x = 563.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.