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Finding the Fourth Proportional to 429.90, 592.50 and 341.22

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Solution

The fourth proportional to 429.90, 592.50 and 341.22 is: 470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.90 : 592.50 = 341.22 : x
  2. Step 2: Convert to fraction form
    429.90/592.50 = 341.22/x
  3. Step 3: Cross multiply
    429.90x = 592.50 × 341.22
  4. Step 4: Simplify right side
    429.90x = 202,172.85
  5. Step 5: Solve for x
    x = 202,172.85/429.90
  6. Step 6: Final answer
    x = 470.28

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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.