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Finding the Fourth Proportional to 340.02, 468.77 and 305.43

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Solution

The fourth proportional to 340.02, 468.77 and 305.43 is: 421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.02 : 468.77 = 305.43 : x
  2. Step 2: Convert to fraction form
    340.02/468.77 = 305.43/x
  3. Step 3: Cross multiply
    340.02x = 468.77 × 305.43
  4. Step 4: Simplify right side
    340.02x = 143,174.28
  5. Step 5: Solve for x
    x = 143,174.28/340.02
  6. Step 6: Final answer
    x = 421.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.