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Finding the Fourth Proportional to 287.08, 427.97 and 264.04

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Solution

The fourth proportional to 287.08, 427.97 and 264.04 is: 393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.08 : 427.97 = 264.04 : x
  2. Step 2: Convert to fraction form
    287.08/427.97 = 264.04/x
  3. Step 3: Cross multiply
    287.08x = 427.97 × 264.04
  4. Step 4: Simplify right side
    287.08x = 113,001.20
  5. Step 5: Solve for x
    x = 113,001.20/287.08
  6. Step 6: Final answer
    x = 393.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.