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Finding the Fourth Proportional to 315.09, 433.86 and 240.47

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Solution

The fourth proportional to 315.09, 433.86 and 240.47 is: 331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 433.86 = 240.47 : x
  2. Step 2: Convert to fraction form
    315.09/433.86 = 240.47/x
  3. Step 3: Cross multiply
    315.09x = 433.86 × 240.47
  4. Step 4: Simplify right side
    315.09x = 104,328.87
  5. Step 5: Solve for x
    x = 104,328.87/315.09
  6. Step 6: Final answer
    x = 331.11

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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.