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Finding the Fourth Proportional to 439.89, 607.34 and 307.07

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Solution

The fourth proportional to 439.89, 607.34 and 307.07 is: 423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.89 : 607.34 = 307.07 : x
  2. Step 2: Convert to fraction form
    439.89/607.34 = 307.07/x
  3. Step 3: Cross multiply
    439.89x = 607.34 × 307.07
  4. Step 4: Simplify right side
    439.89x = 186,494.36
  5. Step 5: Solve for x
    x = 186,494.36/439.89
  6. Step 6: Final answer
    x = 423.96

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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.