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Finding the Fourth Proportional to 346.02, 519.05 and 129.58

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Solution

The fourth proportional to 346.02, 519.05 and 129.58 is: 194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.02 : 519.05 = 129.58 : x
  2. Step 2: Convert to fraction form
    346.02/519.05 = 129.58/x
  3. Step 3: Cross multiply
    346.02x = 519.05 × 129.58
  4. Step 4: Simplify right side
    346.02x = 67,258.50
  5. Step 5: Solve for x
    x = 67,258.50/346.02
  6. Step 6: Final answer
    x = 194.38

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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.