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Finding the Fourth Proportional to 313.47, 431.93 and 264.26

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Solution

The fourth proportional to 313.47, 431.93 and 264.26 is: 364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.47 : 431.93 = 264.26 : x
  2. Step 2: Convert to fraction form
    313.47/431.93 = 264.26/x
  3. Step 3: Cross multiply
    313.47x = 431.93 × 264.26
  4. Step 4: Simplify right side
    313.47x = 114,143.56
  5. Step 5: Solve for x
    x = 114,143.56/313.47
  6. Step 6: Final answer
    x = 364.13

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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.