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Finding the Fourth Proportional to 442.00, 610.23 and 294.89

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Solution

The fourth proportional to 442.00, 610.23 and 294.89 is: 407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.00 : 610.23 = 294.89 : x
  2. Step 2: Convert to fraction form
    442.00/610.23 = 294.89/x
  3. Step 3: Cross multiply
    442.00x = 610.23 × 294.89
  4. Step 4: Simplify right side
    442.00x = 179,948.78
  5. Step 5: Solve for x
    x = 179,948.78/442.00
  6. Step 6: Final answer
    x = 407.12

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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.