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Finding the Fourth Proportional to 345.12, 513.60 and 329.76

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Solution

The fourth proportional to 345.12, 513.60 and 329.76 is: 490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.12 : 513.60 = 329.76 : x
  2. Step 2: Convert to fraction form
    345.12/513.60 = 329.76/x
  3. Step 3: Cross multiply
    345.12x = 513.60 × 329.76
  4. Step 4: Simplify right side
    345.12x = 169,364.74
  5. Step 5: Solve for x
    x = 169,364.74/345.12
  6. Step 6: Final answer
    x = 490.74

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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.