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Finding the Fourth Proportional to 287.73, 397.08 and 156.75

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Solution

The fourth proportional to 287.73, 397.08 and 156.75 is: 216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.73 : 397.08 = 156.75 : x
  2. Step 2: Convert to fraction form
    287.73/397.08 = 156.75/x
  3. Step 3: Cross multiply
    287.73x = 397.08 × 156.75
  4. Step 4: Simplify right side
    287.73x = 62,242.29
  5. Step 5: Solve for x
    x = 62,242.29/287.73
  6. Step 6: Final answer
    x = 216.32

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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.