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Finding the Fourth Proportional to 485.47, 670.10 and 330.31

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Solution

The fourth proportional to 485.47, 670.10 and 330.31 is: 455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.47 : 670.10 = 330.31 : x
  2. Step 2: Convert to fraction form
    485.47/670.10 = 330.31/x
  3. Step 3: Cross multiply
    485.47x = 670.10 × 330.31
  4. Step 4: Simplify right side
    485.47x = 221,340.73
  5. Step 5: Solve for x
    x = 221,340.73/485.47
  6. Step 6: Final answer
    x = 455.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.