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Finding the Fourth Proportional to 316.88, 440.32 and 313.51

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Solution

The fourth proportional to 316.88, 440.32 and 313.51 is: 435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.88 : 440.32 = 313.51 : x
  2. Step 2: Convert to fraction form
    316.88/440.32 = 313.51/x
  3. Step 3: Cross multiply
    316.88x = 440.32 × 313.51
  4. Step 4: Simplify right side
    316.88x = 138,044.72
  5. Step 5: Solve for x
    x = 138,044.72/316.88
  6. Step 6: Final answer
    x = 435.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.