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Finding the Fourth Proportional to 442.60, 610.80 and 295.13

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Solution

The fourth proportional to 442.60, 610.80 and 295.13 is: 407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 610.80 = 295.13 : x
  2. Step 2: Convert to fraction form
    442.60/610.80 = 295.13/x
  3. Step 3: Cross multiply
    442.60x = 610.80 × 295.13
  4. Step 4: Simplify right side
    442.60x = 180,265.40
  5. Step 5: Solve for x
    x = 180,265.40/442.60
  6. Step 6: Final answer
    x = 407.29

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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.