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Finding the Fourth Proportional to 375.01, 516.64 and 309.40

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Solution

The fourth proportional to 375.01, 516.64 and 309.40 is: 426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.01 : 516.64 = 309.40 : x
  2. Step 2: Convert to fraction form
    375.01/516.64 = 309.40/x
  3. Step 3: Cross multiply
    375.01x = 516.64 × 309.40
  4. Step 4: Simplify right side
    375.01x = 159,848.42
  5. Step 5: Solve for x
    x = 159,848.42/375.01
  6. Step 6: Final answer
    x = 426.25

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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.