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Finding the Fourth Proportional to 374.30, 516.03 and 315.98

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Solution

The fourth proportional to 374.30, 516.03 and 315.98 is: 435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.30 : 516.03 = 315.98 : x
  2. Step 2: Convert to fraction form
    374.30/516.03 = 315.98/x
  3. Step 3: Cross multiply
    374.30x = 516.03 × 315.98
  4. Step 4: Simplify right side
    374.30x = 163,055.16
  5. Step 5: Solve for x
    x = 163,055.16/374.30
  6. Step 6: Final answer
    x = 435.63

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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.