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Finding the Fourth Proportional to 364.67, 547.88 and 305.13

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Solution

The fourth proportional to 364.67, 547.88 and 305.13 is: 458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.67 : 547.88 = 305.13 : x
  2. Step 2: Convert to fraction form
    364.67/547.88 = 305.13/x
  3. Step 3: Cross multiply
    364.67x = 547.88 × 305.13
  4. Step 4: Simplify right side
    364.67x = 167,173.10
  5. Step 5: Solve for x
    x = 167,173.10/364.67
  6. Step 6: Final answer
    x = 458.43

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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.