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Finding the Fourth Proportional to 345.60, 515.16 and 334.80

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Solution

The fourth proportional to 345.60, 515.16 and 334.80 is: 499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 515.16 = 334.80 : x
  2. Step 2: Convert to fraction form
    345.60/515.16 = 334.80/x
  3. Step 3: Cross multiply
    345.60x = 515.16 × 334.80
  4. Step 4: Simplify right side
    345.60x = 172,475.57
  5. Step 5: Solve for x
    x = 172,475.57/345.60
  6. Step 6: Final answer
    x = 499.06

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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.