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Finding the Fourth Proportional to 438.84, 602.26 and 397.31

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Solution

The fourth proportional to 438.84, 602.26 and 397.31 is: 545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.84 : 602.26 = 397.31 : x
  2. Step 2: Convert to fraction form
    438.84/602.26 = 397.31/x
  3. Step 3: Cross multiply
    438.84x = 602.26 × 397.31
  4. Step 4: Simplify right side
    438.84x = 239,281.03
  5. Step 5: Solve for x
    x = 239,281.03/438.84
  6. Step 6: Final answer
    x = 545.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.