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Finding the Fourth Proportional to 402.66, 556.08 and 320.34

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Solution

The fourth proportional to 402.66, 556.08 and 320.34 is: 442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.66 : 556.08 = 320.34 : x
  2. Step 2: Convert to fraction form
    402.66/556.08 = 320.34/x
  3. Step 3: Cross multiply
    402.66x = 556.08 × 320.34
  4. Step 4: Simplify right side
    402.66x = 178,134.67
  5. Step 5: Solve for x
    x = 178,134.67/402.66
  6. Step 6: Final answer
    x = 442.39

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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.