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Finding the Fourth Proportional to 330.32, 497.99 and 312.68

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Solution

The fourth proportional to 330.32, 497.99 and 312.68 is: 471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.32 : 497.99 = 312.68 : x
  2. Step 2: Convert to fraction form
    330.32/497.99 = 312.68/x
  3. Step 3: Cross multiply
    330.32x = 497.99 × 312.68
  4. Step 4: Simplify right side
    330.32x = 155,711.51
  5. Step 5: Solve for x
    x = 155,711.51/330.32
  6. Step 6: Final answer
    x = 471.40

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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.