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Finding the Fourth Proportional to 316.51, 433.82 and 315.12

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Solution

The fourth proportional to 316.51, 433.82 and 315.12 is: 431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.51 : 433.82 = 315.12 : x
  2. Step 2: Convert to fraction form
    316.51/433.82 = 315.12/x
  3. Step 3: Cross multiply
    316.51x = 433.82 × 315.12
  4. Step 4: Simplify right side
    316.51x = 136,707.77
  5. Step 5: Solve for x
    x = 136,707.77/316.51
  6. Step 6: Final answer
    x = 431.93

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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.