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Finding the Fourth Proportional to 402.62, 556.90 and 330.62

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Solution

The fourth proportional to 402.62, 556.90 and 330.62 is: 457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.62 : 556.90 = 330.62 : x
  2. Step 2: Convert to fraction form
    402.62/556.90 = 330.62/x
  3. Step 3: Cross multiply
    402.62x = 556.90 × 330.62
  4. Step 4: Simplify right side
    402.62x = 184,122.84
  5. Step 5: Solve for x
    x = 184,122.84/402.62
  6. Step 6: Final answer
    x = 457.32

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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.