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Finding the Fourth Proportional to 345.21, 516.93 and 296.76

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Solution

The fourth proportional to 345.21, 516.93 and 296.76 is: 444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.21 : 516.93 = 296.76 : x
  2. Step 2: Convert to fraction form
    345.21/516.93 = 296.76/x
  3. Step 3: Cross multiply
    345.21x = 516.93 × 296.76
  4. Step 4: Simplify right side
    345.21x = 153,404.15
  5. Step 5: Solve for x
    x = 153,404.15/345.21
  6. Step 6: Final answer
    x = 444.38

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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.