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Finding the Fourth Proportional to 314.75, 433.14 and 240.77

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Solution

The fourth proportional to 314.75, 433.14 and 240.77 is: 331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.75 : 433.14 = 240.77 : x
  2. Step 2: Convert to fraction form
    314.75/433.14 = 240.77/x
  3. Step 3: Cross multiply
    314.75x = 433.14 × 240.77
  4. Step 4: Simplify right side
    314.75x = 104,287.12
  5. Step 5: Solve for x
    x = 104,287.12/314.75
  6. Step 6: Final answer
    x = 331.33

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Find fourth proportional to 157.38, 216.57 and 120.39
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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.