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Finding the Fourth Proportional to 346.19, 474.62 and 340.07

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Solution

The fourth proportional to 346.19, 474.62 and 340.07 is: 466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.19 : 474.62 = 340.07 : x
  2. Step 2: Convert to fraction form
    346.19/474.62 = 340.07/x
  3. Step 3: Cross multiply
    346.19x = 474.62 × 340.07
  4. Step 4: Simplify right side
    346.19x = 161,399.95
  5. Step 5: Solve for x
    x = 161,399.95/346.19
  6. Step 6: Final answer
    x = 466.22

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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.