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Finding the Fourth Proportional to 438.11, 659.00 and 365.21

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Solution

The fourth proportional to 438.11, 659.00 and 365.21 is: 549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.11 : 659.00 = 365.21 : x
  2. Step 2: Convert to fraction form
    438.11/659.00 = 365.21/x
  3. Step 3: Cross multiply
    438.11x = 659.00 × 365.21
  4. Step 4: Simplify right side
    438.11x = 240,673.48
  5. Step 5: Solve for x
    x = 240,673.48/438.11
  6. Step 6: Final answer
    x = 549.35

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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.