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Finding the Fourth Proportional to 402.64, 606.71 and 332.08

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Solution

The fourth proportional to 402.64, 606.71 and 332.08 is: 500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.64 : 606.71 = 332.08 : x
  2. Step 2: Convert to fraction form
    402.64/606.71 = 332.08/x
  3. Step 3: Cross multiply
    402.64x = 606.71 × 332.08
  4. Step 4: Simplify right side
    402.64x = 201,476.26
  5. Step 5: Solve for x
    x = 201,476.26/402.64
  6. Step 6: Final answer
    x = 500.39

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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.