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Finding the Fourth Proportional to 288.30, 397.85 and 157.31

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Solution

The fourth proportional to 288.30, 397.85 and 157.31 is: 217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.30 : 397.85 = 157.31 : x
  2. Step 2: Convert to fraction form
    288.30/397.85 = 157.31/x
  3. Step 3: Cross multiply
    288.30x = 397.85 × 157.31
  4. Step 4: Simplify right side
    288.30x = 62,583.79
  5. Step 5: Solve for x
    x = 62,583.79/288.30
  6. Step 6: Final answer
    x = 217.08

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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.