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Finding the Fourth Proportional to 347.73, 478.83 and 264.51

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Solution

The fourth proportional to 347.73, 478.83 and 264.51 is: 364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.73 : 478.83 = 264.51 : x
  2. Step 2: Convert to fraction form
    347.73/478.83 = 264.51/x
  3. Step 3: Cross multiply
    347.73x = 478.83 × 264.51
  4. Step 4: Simplify right side
    347.73x = 126,655.32
  5. Step 5: Solve for x
    x = 126,655.32/347.73
  6. Step 6: Final answer
    x = 364.23

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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.