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Finding the Fourth Proportional to 314.31, 468.54 and 308.85

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Solution

The fourth proportional to 314.31, 468.54 and 308.85 is: 460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.31 : 468.54 = 308.85 : x
  2. Step 2: Convert to fraction form
    314.31/468.54 = 308.85/x
  3. Step 3: Cross multiply
    314.31x = 468.54 × 308.85
  4. Step 4: Simplify right side
    314.31x = 144,708.58
  5. Step 5: Solve for x
    x = 144,708.58/314.31
  6. Step 6: Final answer
    x = 460.40

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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.