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Finding the Fourth Proportional to 516.13, 713.19 and 368.51

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Solution

The fourth proportional to 516.13, 713.19 and 368.51 is: 509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.13 : 713.19 = 368.51 : x
  2. Step 2: Convert to fraction form
    516.13/713.19 = 368.51/x
  3. Step 3: Cross multiply
    516.13x = 713.19 × 368.51
  4. Step 4: Simplify right side
    516.13x = 262,817.65
  5. Step 5: Solve for x
    x = 262,817.65/516.13
  6. Step 6: Final answer
    x = 509.21

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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.