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Finding the Fourth Proportional to 340.11, 466.83 and 307.35

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Solution

The fourth proportional to 340.11, 466.83 and 307.35 is: 421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.11 : 466.83 = 307.35 : x
  2. Step 2: Convert to fraction form
    340.11/466.83 = 307.35/x
  3. Step 3: Cross multiply
    340.11x = 466.83 × 307.35
  4. Step 4: Simplify right side
    340.11x = 143,480.20
  5. Step 5: Solve for x
    x = 143,480.20/340.11
  6. Step 6: Final answer
    x = 421.86

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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.