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Finding the Fourth Proportional to 364.71, 547.74 and 345.81

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Solution

The fourth proportional to 364.71, 547.74 and 345.81 is: 519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.71 : 547.74 = 345.81 : x
  2. Step 2: Convert to fraction form
    364.71/547.74 = 345.81/x
  3. Step 3: Cross multiply
    364.71x = 547.74 × 345.81
  4. Step 4: Simplify right side
    364.71x = 189,413.97
  5. Step 5: Solve for x
    x = 189,413.97/364.71
  6. Step 6: Final answer
    x = 519.36

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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.