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Finding the Fourth Proportional to 347, 478.92 and 230.64

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Solution

The fourth proportional to 347, 478.92 and 230.64 is: 318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    347 : 478.92 = 230.64 : x
  2. Step 2: Convert to fraction form
    347/478.92 = 230.64/x
  3. Step 3: Cross multiply
    347x = 478.92 × 230.64
  4. Step 4: Simplify right side
    347x = 110,458.11
  5. Step 5: Solve for x
    x = 110,458.11/347
  6. Step 6: Final answer
    x = 318.32

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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.