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Finding the Fourth Proportional to 364.12, 548.87 and 303.66

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Solution

The fourth proportional to 364.12, 548.87 and 303.66 is: 457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.12 : 548.87 = 303.66 : x
  2. Step 2: Convert to fraction form
    364.12/548.87 = 303.66/x
  3. Step 3: Cross multiply
    364.12x = 548.87 × 303.66
  4. Step 4: Simplify right side
    364.12x = 166,666.36
  5. Step 5: Solve for x
    x = 166,666.36/364.12
  6. Step 6: Final answer
    x = 457.72

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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.