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Finding the Fourth Proportional to 287.33, 431.01 and 104.72

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Solution

The fourth proportional to 287.33, 431.01 and 104.72 is: 157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.33 : 431.01 = 104.72 : x
  2. Step 2: Convert to fraction form
    287.33/431.01 = 104.72/x
  3. Step 3: Cross multiply
    287.33x = 431.01 × 104.72
  4. Step 4: Simplify right side
    287.33x = 45,133.21
  5. Step 5: Solve for x
    x = 45,133.21/287.33
  6. Step 6: Final answer
    x = 157.08

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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.