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Finding the Fourth Proportional to 438.98, 606.96 and 384.30

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Solution

The fourth proportional to 438.98, 606.96 and 384.30 is: 531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.98 : 606.96 = 384.30 : x
  2. Step 2: Convert to fraction form
    438.98/606.96 = 384.30/x
  3. Step 3: Cross multiply
    438.98x = 606.96 × 384.30
  4. Step 4: Simplify right side
    438.98x = 233,254.73
  5. Step 5: Solve for x
    x = 233,254.73/438.98
  6. Step 6: Final answer
    x = 531.36

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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.