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Finding the Fourth Proportional to 429.10, 592.49 and 346.60

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Solution

The fourth proportional to 429.10, 592.49 and 346.60 is: 478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.10 : 592.49 = 346.60 : x
  2. Step 2: Convert to fraction form
    429.10/592.49 = 346.60/x
  3. Step 3: Cross multiply
    429.10x = 592.49 × 346.60
  4. Step 4: Simplify right side
    429.10x = 205,357.03
  5. Step 5: Solve for x
    x = 205,357.03/429.10
  6. Step 6: Final answer
    x = 478.58

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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.