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Finding the Fourth Proportional to 297.36, 407.75 and 287.06

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Solution

The fourth proportional to 297.36, 407.75 and 287.06 is: 393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.36 : 407.75 = 287.06 : x
  2. Step 2: Convert to fraction form
    297.36/407.75 = 287.06/x
  3. Step 3: Cross multiply
    297.36x = 407.75 × 287.06
  4. Step 4: Simplify right side
    297.36x = 117,047.28
  5. Step 5: Solve for x
    x = 117,047.28/297.36
  6. Step 6: Final answer
    x = 393.62

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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.