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Finding the Fourth Proportional to 442.93, 610.65 and 354.73

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Solution

The fourth proportional to 442.93, 610.65 and 354.73 is: 489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.93 : 610.65 = 354.73 : x
  2. Step 2: Convert to fraction form
    442.93/610.65 = 354.73/x
  3. Step 3: Cross multiply
    442.93x = 610.65 × 354.73
  4. Step 4: Simplify right side
    442.93x = 216,612.82
  5. Step 5: Solve for x
    x = 216,612.82/442.93
  6. Step 6: Final answer
    x = 489.05

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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.