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Finding the Fourth Proportional to 315.14, 431.14 and 313.77

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Solution

The fourth proportional to 315.14, 431.14 and 313.77 is: 429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 431.14 = 313.77 : x
  2. Step 2: Convert to fraction form
    315.14/431.14 = 313.77/x
  3. Step 3: Cross multiply
    315.14x = 431.14 × 313.77
  4. Step 4: Simplify right side
    315.14x = 135,275.07
  5. Step 5: Solve for x
    x = 135,275.07/315.14
  6. Step 6: Final answer
    x = 429.26

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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.