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Finding the Fourth Proportional to 402.39, 555.99 and 320.22

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Solution

The fourth proportional to 402.39, 555.99 and 320.22 is: 442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.39 : 555.99 = 320.22 : x
  2. Step 2: Convert to fraction form
    402.39/555.99 = 320.22/x
  3. Step 3: Cross multiply
    402.39x = 555.99 × 320.22
  4. Step 4: Simplify right side
    402.39x = 178,039.12
  5. Step 5: Solve for x
    x = 178,039.12/402.39
  6. Step 6: Final answer
    x = 442.45

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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.