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Finding the Fourth Proportional to 330.07, 497.61 and 312.43

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Solution

The fourth proportional to 330.07, 497.61 and 312.43 is: 471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.07 : 497.61 = 312.43 : x
  2. Step 2: Convert to fraction form
    330.07/497.61 = 312.43/x
  3. Step 3: Cross multiply
    330.07x = 497.61 × 312.43
  4. Step 4: Simplify right side
    330.07x = 155,468.29
  5. Step 5: Solve for x
    x = 155,468.29/330.07
  6. Step 6: Final answer
    x = 471.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.