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Finding the Fourth Proportional to 551.86, 761.25 and 344.50

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Solution

The fourth proportional to 551.86, 761.25 and 344.50 is: 475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.86 : 761.25 = 344.50 : x
  2. Step 2: Convert to fraction form
    551.86/761.25 = 344.50/x
  3. Step 3: Cross multiply
    551.86x = 761.25 × 344.50
  4. Step 4: Simplify right side
    551.86x = 262,250.63
  5. Step 5: Solve for x
    x = 262,250.63/551.86
  6. Step 6: Final answer
    x = 475.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.