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Finding the Fourth Proportional to 402.84, 601.36 and 341.28

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Solution

The fourth proportional to 402.84, 601.36 and 341.28 is: 509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.84 : 601.36 = 341.28 : x
  2. Step 2: Convert to fraction form
    402.84/601.36 = 341.28/x
  3. Step 3: Cross multiply
    402.84x = 601.36 × 341.28
  4. Step 4: Simplify right side
    402.84x = 205,231.29
  5. Step 5: Solve for x
    x = 205,231.29/402.84
  6. Step 6: Final answer
    x = 509.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.