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Finding the Fourth Proportional to 334.28, 497.84 and 314.28

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Solution

The fourth proportional to 334.28, 497.84 and 314.28 is: 468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.28 : 497.84 = 314.28 : x
  2. Step 2: Convert to fraction form
    334.28/497.84 = 314.28/x
  3. Step 3: Cross multiply
    334.28x = 497.84 × 314.28
  4. Step 4: Simplify right side
    334.28x = 156,461.16
  5. Step 5: Solve for x
    x = 156,461.16/334.28
  6. Step 6: Final answer
    x = 468.05

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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.