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Finding the Fourth Proportional to 442.40, 610.16 and 294.77

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Solution

The fourth proportional to 442.40, 610.16 and 294.77 is: 406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.40 : 610.16 = 294.77 : x
  2. Step 2: Convert to fraction form
    442.40/610.16 = 294.77/x
  3. Step 3: Cross multiply
    442.40x = 610.16 × 294.77
  4. Step 4: Simplify right side
    442.40x = 179,856.86
  5. Step 5: Solve for x
    x = 179,856.86/442.40
  6. Step 6: Final answer
    x = 406.55

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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.