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Finding the Fourth Proportional to 409.32, 610.74 and 362.88

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Solution

The fourth proportional to 409.32, 610.74 and 362.88 is: 541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.32 : 610.74 = 362.88 : x
  2. Step 2: Convert to fraction form
    409.32/610.74 = 362.88/x
  3. Step 3: Cross multiply
    409.32x = 610.74 × 362.88
  4. Step 4: Simplify right side
    409.32x = 221,625.33
  5. Step 5: Solve for x
    x = 221,625.33/409.32
  6. Step 6: Final answer
    x = 541.45

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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.