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Finding the Fourth Proportional to 315.80, 436.26 and 313.36

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Solution

The fourth proportional to 315.80, 436.26 and 313.36 is: 432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.80 : 436.26 = 313.36 : x
  2. Step 2: Convert to fraction form
    315.80/436.26 = 313.36/x
  3. Step 3: Cross multiply
    315.80x = 436.26 × 313.36
  4. Step 4: Simplify right side
    315.80x = 136,706.43
  5. Step 5: Solve for x
    x = 136,706.43/315.80
  6. Step 6: Final answer
    x = 432.89

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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.