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Finding the Fourth Proportional to 330.48, 492.48 and 314.28

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Solution

The fourth proportional to 330.48, 492.48 and 314.28 is: 468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.48 : 492.48 = 314.28 : x
  2. Step 2: Convert to fraction form
    330.48/492.48 = 314.28/x
  3. Step 3: Cross multiply
    330.48x = 492.48 × 314.28
  4. Step 4: Simplify right side
    330.48x = 154,776.61
  5. Step 5: Solve for x
    x = 154,776.61/330.48
  6. Step 6: Final answer
    x = 468.34

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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.