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Finding the Fourth Proportional to 362.99, 541.03 and 342.49

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Solution

The fourth proportional to 362.99, 541.03 and 342.49 is: 510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.99 : 541.03 = 342.49 : x
  2. Step 2: Convert to fraction form
    362.99/541.03 = 342.49/x
  3. Step 3: Cross multiply
    362.99x = 541.03 × 342.49
  4. Step 4: Simplify right side
    362.99x = 185,297.36
  5. Step 5: Solve for x
    x = 185,297.36/362.99
  6. Step 6: Final answer
    x = 510.48

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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.