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Finding the Fourth Proportional to 374.51, 516.69 and 217.10

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Solution

The fourth proportional to 374.51, 516.69 and 217.10 is: 299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.51 : 516.69 = 217.10 : x
  2. Step 2: Convert to fraction form
    374.51/516.69 = 217.10/x
  3. Step 3: Cross multiply
    374.51x = 516.69 × 217.10
  4. Step 4: Simplify right side
    374.51x = 112,170.82
  5. Step 5: Solve for x
    x = 112,170.82/374.51
  6. Step 6: Final answer
    x = 299.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.