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Finding the Fourth Proportional to 437.86, 603.48 and 306.64

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Solution

The fourth proportional to 437.86, 603.48 and 306.64 is: 422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.86 : 603.48 = 306.64 : x
  2. Step 2: Convert to fraction form
    437.86/603.48 = 306.64/x
  3. Step 3: Cross multiply
    437.86x = 603.48 × 306.64
  4. Step 4: Simplify right side
    437.86x = 185,051.11
  5. Step 5: Solve for x
    x = 185,051.11/437.86
  6. Step 6: Final answer
    x = 422.63

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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.