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Finding the Fourth Proportional to 346.66, 519.78 and 173.32

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Solution

The fourth proportional to 346.66, 519.78 and 173.32 is: 259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.66 : 519.78 = 173.32 : x
  2. Step 2: Convert to fraction form
    346.66/519.78 = 173.32/x
  3. Step 3: Cross multiply
    346.66x = 519.78 × 173.32
  4. Step 4: Simplify right side
    346.66x = 90,088.27
  5. Step 5: Solve for x
    x = 90,088.27/346.66
  6. Step 6: Final answer
    x = 259.88

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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.