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Finding the Fourth Proportional to 330.84, 492.86 and 315.05

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Solution

The fourth proportional to 330.84, 492.86 and 315.05 is: 469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.84 : 492.86 = 315.05 : x
  2. Step 2: Convert to fraction form
    330.84/492.86 = 315.05/x
  3. Step 3: Cross multiply
    330.84x = 492.86 × 315.05
  4. Step 4: Simplify right side
    330.84x = 155,273.87
  5. Step 5: Solve for x
    x = 155,273.87/330.84
  6. Step 6: Final answer
    x = 469.33

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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.