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Finding the Fourth Proportional to 314, 433.32 and 240.40

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Solution

The fourth proportional to 314, 433.32 and 240.40 is: 331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 433.32 = 240.40 : x
  2. Step 2: Convert to fraction form
    314/433.32 = 240.40/x
  3. Step 3: Cross multiply
    314x = 433.32 × 240.40
  4. Step 4: Simplify right side
    314x = 104,170.13
  5. Step 5: Solve for x
    x = 104,170.13/314
  6. Step 6: Final answer
    x = 331.75

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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.