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Finding the Fourth Proportional to 215.47, 296.91 and 153.37

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Solution

The fourth proportional to 215.47, 296.91 and 153.37 is: 211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.47 : 296.91 = 153.37 : x
  2. Step 2: Convert to fraction form
    215.47/296.91 = 153.37/x
  3. Step 3: Cross multiply
    215.47x = 296.91 × 153.37
  4. Step 4: Simplify right side
    215.47x = 45,537.09
  5. Step 5: Solve for x
    x = 45,537.09/215.47
  6. Step 6: Final answer
    x = 211.34

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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.