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Finding the Fourth Proportional to 346.56, 520.08 and 154.32

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Solution

The fourth proportional to 346.56, 520.08 and 154.32 is: 231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.56 : 520.08 = 154.32 : x
  2. Step 2: Convert to fraction form
    346.56/520.08 = 154.32/x
  3. Step 3: Cross multiply
    346.56x = 520.08 × 154.32
  4. Step 4: Simplify right side
    346.56x = 80,258.75
  5. Step 5: Solve for x
    x = 80,258.75/346.56
  6. Step 6: Final answer
    x = 231.59

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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.