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Finding the Fourth Proportional to 349.76, 521.99 and 341.57

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Solution

The fourth proportional to 349.76, 521.99 and 341.57 is: 509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.76 : 521.99 = 341.57 : x
  2. Step 2: Convert to fraction form
    349.76/521.99 = 341.57/x
  3. Step 3: Cross multiply
    349.76x = 521.99 × 341.57
  4. Step 4: Simplify right side
    349.76x = 178,291.81
  5. Step 5: Solve for x
    x = 178,291.81/349.76
  6. Step 6: Final answer
    x = 509.76

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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.