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Finding the Fourth Proportional to 345.26, 514.72 and 333.38

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Solution

The fourth proportional to 345.26, 514.72 and 333.38 is: 497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.26 : 514.72 = 333.38 : x
  2. Step 2: Convert to fraction form
    345.26/514.72 = 333.38/x
  3. Step 3: Cross multiply
    345.26x = 514.72 × 333.38
  4. Step 4: Simplify right side
    345.26x = 171,597.35
  5. Step 5: Solve for x
    x = 171,597.35/345.26
  6. Step 6: Final answer
    x = 497.01

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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.