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Finding the Fourth Proportional to 345.60, 514.80 and 329.40

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Solution

The fourth proportional to 345.60, 514.80 and 329.40 is: 490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 514.80 = 329.40 : x
  2. Step 2: Convert to fraction form
    345.60/514.80 = 329.40/x
  3. Step 3: Cross multiply
    345.60x = 514.80 × 329.40
  4. Step 4: Simplify right side
    345.60x = 169,575.12
  5. Step 5: Solve for x
    x = 169,575.12/345.60
  6. Step 6: Final answer
    x = 490.67

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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.