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Finding the Fourth Proportional to 364.55, 500.62 and 312.09

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Solution

The fourth proportional to 364.55, 500.62 and 312.09 is: 428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.55 : 500.62 = 312.09 : x
  2. Step 2: Convert to fraction form
    364.55/500.62 = 312.09/x
  3. Step 3: Cross multiply
    364.55x = 500.62 × 312.09
  4. Step 4: Simplify right side
    364.55x = 156,238.89
  5. Step 5: Solve for x
    x = 156,238.89/364.55
  6. Step 6: Final answer
    x = 428.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.