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Finding the Fourth Proportional to 345.90, 476.77 and 280.29

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Solution

The fourth proportional to 345.90, 476.77 and 280.29 is: 386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.90 : 476.77 = 280.29 : x
  2. Step 2: Convert to fraction form
    345.90/476.77 = 280.29/x
  3. Step 3: Cross multiply
    345.90x = 476.77 × 280.29
  4. Step 4: Simplify right side
    345.90x = 133,633.86
  5. Step 5: Solve for x
    x = 133,633.86/345.90
  6. Step 6: Final answer
    x = 386.34

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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.