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Finding the Fourth Proportional to 314.07, 433.28 and 240.26

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Solution

The fourth proportional to 314.07, 433.28 and 240.26 is: 331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.07 : 433.28 = 240.26 : x
  2. Step 2: Convert to fraction form
    314.07/433.28 = 240.26/x
  3. Step 3: Cross multiply
    314.07x = 433.28 × 240.26
  4. Step 4: Simplify right side
    314.07x = 104,099.37
  5. Step 5: Solve for x
    x = 104,099.37/314.07
  6. Step 6: Final answer
    x = 331.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.