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Finding the Fourth Proportional to 346.62, 478.78 and 315.56

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Solution

The fourth proportional to 346.62, 478.78 and 315.56 is: 435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.62 : 478.78 = 315.56 : x
  2. Step 2: Convert to fraction form
    346.62/478.78 = 315.56/x
  3. Step 3: Cross multiply
    346.62x = 478.78 × 315.56
  4. Step 4: Simplify right side
    346.62x = 151,083.82
  5. Step 5: Solve for x
    x = 151,083.82/346.62
  6. Step 6: Final answer
    x = 435.88

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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.