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Finding the Fourth Proportional to 364.95, 547.79 and 202.71

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Solution

The fourth proportional to 364.95, 547.79 and 202.71 is: 304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.95 : 547.79 = 202.71 : x
  2. Step 2: Convert to fraction form
    364.95/547.79 = 202.71/x
  3. Step 3: Cross multiply
    364.95x = 547.79 × 202.71
  4. Step 4: Simplify right side
    364.95x = 111,041.50
  5. Step 5: Solve for x
    x = 111,041.50/364.95
  6. Step 6: Final answer
    x = 304.26

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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.