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Finding the Fourth Proportional to 346.40, 474.93 and 340.23

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Solution

The fourth proportional to 346.40, 474.93 and 340.23 is: 466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.40 : 474.93 = 340.23 : x
  2. Step 2: Convert to fraction form
    346.40/474.93 = 340.23/x
  3. Step 3: Cross multiply
    346.40x = 474.93 × 340.23
  4. Step 4: Simplify right side
    346.40x = 161,585.43
  5. Step 5: Solve for x
    x = 161,585.43/346.40
  6. Step 6: Final answer
    x = 466.48

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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.