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Finding the Fourth Proportional to 343, 510.93 and 327.48

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Solution

The fourth proportional to 343, 510.93 and 327.48 is: 487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343 : 510.93 = 327.48 : x
  2. Step 2: Convert to fraction form
    343/510.93 = 327.48/x
  3. Step 3: Cross multiply
    343x = 510.93 × 327.48
  4. Step 4: Simplify right side
    343x = 167,319.36
  5. Step 5: Solve for x
    x = 167,319.36/343
  6. Step 6: Final answer
    x = 487.81

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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.