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Finding the Fourth Proportional to 346.81, 475.46 and 340.68

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Solution

The fourth proportional to 346.81, 475.46 and 340.68 is: 467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.81 : 475.46 = 340.68 : x
  2. Step 2: Convert to fraction form
    346.81/475.46 = 340.68/x
  3. Step 3: Cross multiply
    346.81x = 475.46 × 340.68
  4. Step 4: Simplify right side
    346.81x = 161,979.71
  5. Step 5: Solve for x
    x = 161,979.71/346.81
  6. Step 6: Final answer
    x = 467.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.