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Finding the Fourth Proportional to 318.65, 437.29 and 313.25

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Solution

The fourth proportional to 318.65, 437.29 and 313.25 is: 429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.65 : 437.29 = 313.25 : x
  2. Step 2: Convert to fraction form
    318.65/437.29 = 313.25/x
  3. Step 3: Cross multiply
    318.65x = 437.29 × 313.25
  4. Step 4: Simplify right side
    318.65x = 136,978.12
  5. Step 5: Solve for x
    x = 136,978.12/318.65
  6. Step 6: Final answer
    x = 429.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.