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Finding the Fourth Proportional to 517.43, 776.09 and 152.21

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Solution

The fourth proportional to 517.43, 776.09 and 152.21 is: 228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.43 : 776.09 = 152.21 : x
  2. Step 2: Convert to fraction form
    517.43/776.09 = 152.21/x
  3. Step 3: Cross multiply
    517.43x = 776.09 × 152.21
  4. Step 4: Simplify right side
    517.43x = 118,124.02
  5. Step 5: Solve for x
    x = 118,124.02/517.43
  6. Step 6: Final answer
    x = 228.29

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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.