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Finding the Fourth Proportional to 364.37, 549.25 and 303.91

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Solution

The fourth proportional to 364.37, 549.25 and 303.91 is: 458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.37 : 549.25 = 303.91 : x
  2. Step 2: Convert to fraction form
    364.37/549.25 = 303.91/x
  3. Step 3: Cross multiply
    364.37x = 549.25 × 303.91
  4. Step 4: Simplify right side
    364.37x = 166,918.30
  5. Step 5: Solve for x
    x = 166,918.30/364.37
  6. Step 6: Final answer
    x = 458.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.