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Finding the Fourth Proportional to 346.64, 519.66 and 141

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Solution

The fourth proportional to 346.64, 519.66 and 141 is: 211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.64 : 519.66 = 141 : x
  2. Step 2: Convert to fraction form
    346.64/519.66 = 141/x
  3. Step 3: Cross multiply
    346.64x = 519.66 × 141
  4. Step 4: Simplify right side
    346.64x = 73,272.06
  5. Step 5: Solve for x
    x = 73,272.06/346.64
  6. Step 6: Final answer
    x = 211.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.