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Finding the Fourth Proportional to 330.84, 457.02 and 314.64

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Solution

The fourth proportional to 330.84, 457.02 and 314.64 is: 434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.84 : 457.02 = 314.64 : x
  2. Step 2: Convert to fraction form
    330.84/457.02 = 314.64/x
  3. Step 3: Cross multiply
    330.84x = 457.02 × 314.64
  4. Step 4: Simplify right side
    330.84x = 143,796.77
  5. Step 5: Solve for x
    x = 143,796.77/330.84
  6. Step 6: Final answer
    x = 434.64

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Why These Related Problems?

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