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Finding the Fourth Proportional to 373.82, 516.51 and 360.68

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Solution

The fourth proportional to 373.82, 516.51 and 360.68 is: 498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.82 : 516.51 = 360.68 : x
  2. Step 2: Convert to fraction form
    373.82/516.51 = 360.68/x
  3. Step 3: Cross multiply
    373.82x = 516.51 × 360.68
  4. Step 4: Simplify right side
    373.82x = 186,294.83
  5. Step 5: Solve for x
    x = 186,294.83/373.82
  6. Step 6: Final answer
    x = 498.35

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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.