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Finding the Fourth Proportional to 287.49, 397.14 and 238.35

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Solution

The fourth proportional to 287.49, 397.14 and 238.35 is: 329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.49 : 397.14 = 238.35 : x
  2. Step 2: Convert to fraction form
    287.49/397.14 = 238.35/x
  3. Step 3: Cross multiply
    287.49x = 397.14 × 238.35
  4. Step 4: Simplify right side
    287.49x = 94,658.32
  5. Step 5: Solve for x
    x = 94,658.32/287.49
  6. Step 6: Final answer
    x = 329.26

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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.