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Finding the Fourth Proportional to 421.59, 581.34 and 365.85

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Solution

The fourth proportional to 421.59, 581.34 and 365.85 is: 504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.59 : 581.34 = 365.85 : x
  2. Step 2: Convert to fraction form
    421.59/581.34 = 365.85/x
  3. Step 3: Cross multiply
    421.59x = 581.34 × 365.85
  4. Step 4: Simplify right side
    421.59x = 212,683.24
  5. Step 5: Solve for x
    x = 212,683.24/421.59
  6. Step 6: Final answer
    x = 504.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.