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Finding the Fourth Proportional to 420.04, 631.53 and 366.27

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Solution

The fourth proportional to 420.04, 631.53 and 366.27 is: 550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.04 : 631.53 = 366.27 : x
  2. Step 2: Convert to fraction form
    420.04/631.53 = 366.27/x
  3. Step 3: Cross multiply
    420.04x = 631.53 × 366.27
  4. Step 4: Simplify right side
    420.04x = 231,311.68
  5. Step 5: Solve for x
    x = 231,311.68/420.04
  6. Step 6: Final answer
    x = 550.70

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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.