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Finding the Fourth Proportional to 438.89, 656.96 and 301.13

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Solution

The fourth proportional to 438.89, 656.96 and 301.13 is: 450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.89 : 656.96 = 301.13 : x
  2. Step 2: Convert to fraction form
    438.89/656.96 = 301.13/x
  3. Step 3: Cross multiply
    438.89x = 656.96 × 301.13
  4. Step 4: Simplify right side
    438.89x = 197,828.86
  5. Step 5: Solve for x
    x = 197,828.86/438.89
  6. Step 6: Final answer
    x = 450.75

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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.