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Finding the Fourth Proportional to 402.88, 605.12 and 345.08

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Solution

The fourth proportional to 402.88, 605.12 and 345.08 is: 518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.88 : 605.12 = 345.08 : x
  2. Step 2: Convert to fraction form
    402.88/605.12 = 345.08/x
  3. Step 3: Cross multiply
    402.88x = 605.12 × 345.08
  4. Step 4: Simplify right side
    402.88x = 208,814.81
  5. Step 5: Solve for x
    x = 208,814.81/402.88
  6. Step 6: Final answer
    x = 518.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.