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Finding the Fourth Proportional to 341.96, 509.65 and 341.42

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Solution

The fourth proportional to 341.96, 509.65 and 341.42 is: 508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.96 : 509.65 = 341.42 : x
  2. Step 2: Convert to fraction form
    341.96/509.65 = 341.42/x
  3. Step 3: Cross multiply
    341.96x = 509.65 × 341.42
  4. Step 4: Simplify right side
    341.96x = 174,004.70
  5. Step 5: Solve for x
    x = 174,004.70/341.96
  6. Step 6: Final answer
    x = 508.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.