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Finding the Fourth Proportional to 567.53, 851.20 and 242.86

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Solution

The fourth proportional to 567.53, 851.20 and 242.86 is: 364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.53 : 851.20 = 242.86 : x
  2. Step 2: Convert to fraction form
    567.53/851.20 = 242.86/x
  3. Step 3: Cross multiply
    567.53x = 851.20 × 242.86
  4. Step 4: Simplify right side
    567.53x = 206,722.43
  5. Step 5: Solve for x
    x = 206,722.43/567.53
  6. Step 6: Final answer
    x = 364.25

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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.