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Finding the Fourth Proportional to 567.84, 852.21 and 243.21

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Solution

The fourth proportional to 567.84, 852.21 and 243.21 is: 365.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.84 : 852.21 = 243.21 : x
  2. Step 2: Convert to fraction form
    567.84/852.21 = 243.21/x
  3. Step 3: Cross multiply
    567.84x = 852.21 × 243.21
  4. Step 4: Simplify right side
    567.84x = 207,265.99
  5. Step 5: Solve for x
    x = 207,265.99/567.84
  6. Step 6: Final answer
    x = 365.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.