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Finding the Fourth Proportional to 314.31, 468.93 and 303.39

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Solution

The fourth proportional to 314.31, 468.93 and 303.39 is: 452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.31 : 468.93 = 303.39 : x
  2. Step 2: Convert to fraction form
    314.31/468.93 = 303.39/x
  3. Step 3: Cross multiply
    314.31x = 468.93 × 303.39
  4. Step 4: Simplify right side
    314.31x = 142,268.67
  5. Step 5: Solve for x
    x = 142,268.67/314.31
  6. Step 6: Final answer
    x = 452.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.