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Finding the Fourth Proportional to 437.20, 603.46 and 306.24

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Solution

The fourth proportional to 437.20, 603.46 and 306.24 is: 422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.20 : 603.46 = 306.24 : x
  2. Step 2: Convert to fraction form
    437.20/603.46 = 306.24/x
  3. Step 3: Cross multiply
    437.20x = 603.46 × 306.24
  4. Step 4: Simplify right side
    437.20x = 184,803.59
  5. Step 5: Solve for x
    x = 184,803.59/437.20
  6. Step 6: Final answer
    x = 422.70

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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.