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Finding the Fourth Proportional to 444.02, 665.80 and 258.98

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Solution

The fourth proportional to 444.02, 665.80 and 258.98 is: 388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.02 : 665.80 = 258.98 : x
  2. Step 2: Convert to fraction form
    444.02/665.80 = 258.98/x
  3. Step 3: Cross multiply
    444.02x = 665.80 × 258.98
  4. Step 4: Simplify right side
    444.02x = 172,428.88
  5. Step 5: Solve for x
    x = 172,428.88/444.02
  6. Step 6: Final answer
    x = 388.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.