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Finding the Fourth Proportional to 402.32, 606.86 and 389.36

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Solution

The fourth proportional to 402.32, 606.86 and 389.36 is: 587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.32 : 606.86 = 389.36 : x
  2. Step 2: Convert to fraction form
    402.32/606.86 = 389.36/x
  3. Step 3: Cross multiply
    402.32x = 606.86 × 389.36
  4. Step 4: Simplify right side
    402.32x = 236,287.01
  5. Step 5: Solve for x
    x = 236,287.01/402.32
  6. Step 6: Final answer
    x = 587.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.