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Finding the Fourth Proportional to 346.60, 475.14 and 340.40

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Solution

The fourth proportional to 346.60, 475.14 and 340.40 is: 466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.60 : 475.14 = 340.40 : x
  2. Step 2: Convert to fraction form
    346.60/475.14 = 340.40/x
  3. Step 3: Cross multiply
    346.60x = 475.14 × 340.40
  4. Step 4: Simplify right side
    346.60x = 161,737.66
  5. Step 5: Solve for x
    x = 161,737.66/346.60
  6. Step 6: Final answer
    x = 466.64

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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.