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Finding the Fourth Proportional to 510.06, 703.49 and 323.37

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Solution

The fourth proportional to 510.06, 703.49 and 323.37 is: 446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.06 : 703.49 = 323.37 : x
  2. Step 2: Convert to fraction form
    510.06/703.49 = 323.37/x
  3. Step 3: Cross multiply
    510.06x = 703.49 × 323.37
  4. Step 4: Simplify right side
    510.06x = 227,485.94
  5. Step 5: Solve for x
    x = 227,485.94/510.06
  6. Step 6: Final answer
    x = 446.00

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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.