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Finding the Fourth Proportional to 429.59, 592.74 and 243.05

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Solution

The fourth proportional to 429.59, 592.74 and 243.05 is: 335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.59 : 592.74 = 243.05 : x
  2. Step 2: Convert to fraction form
    429.59/592.74 = 243.05/x
  3. Step 3: Cross multiply
    429.59x = 592.74 × 243.05
  4. Step 4: Simplify right side
    429.59x = 144,062.49
  5. Step 5: Solve for x
    x = 144,062.49/429.59
  6. Step 6: Final answer
    x = 335.35

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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.