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Finding the Fourth Proportional to 334.76, 499.80 and 314.16

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Solution

The fourth proportional to 334.76, 499.80 and 314.16 is: 469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.76 : 499.80 = 314.16 : x
  2. Step 2: Convert to fraction form
    334.76/499.80 = 314.16/x
  3. Step 3: Cross multiply
    334.76x = 499.80 × 314.16
  4. Step 4: Simplify right side
    334.76x = 157,017.17
  5. Step 5: Solve for x
    x = 157,017.17/334.76
  6. Step 6: Final answer
    x = 469.04

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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.