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Finding the Fourth Proportional to 330.51, 497.46 and 312.87

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Solution

The fourth proportional to 330.51, 497.46 and 312.87 is: 470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.51 : 497.46 = 312.87 : x
  2. Step 2: Convert to fraction form
    330.51/497.46 = 312.87/x
  3. Step 3: Cross multiply
    330.51x = 497.46 × 312.87
  4. Step 4: Simplify right side
    330.51x = 155,640.31
  5. Step 5: Solve for x
    x = 155,640.31/330.51
  6. Step 6: Final answer
    x = 470.91

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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.