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Finding the Fourth Proportional to 288.01, 397.45 and 157.01

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Solution

The fourth proportional to 288.01, 397.45 and 157.01 is: 216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.01 : 397.45 = 157.01 : x
  2. Step 2: Convert to fraction form
    288.01/397.45 = 157.01/x
  3. Step 3: Cross multiply
    288.01x = 397.45 × 157.01
  4. Step 4: Simplify right side
    288.01x = 62,403.62
  5. Step 5: Solve for x
    x = 62,403.62/288.01
  6. Step 6: Final answer
    x = 216.68

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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.