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Finding the Fourth Proportional to 215.24, 297.12 and 153.08

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Solution

The fourth proportional to 215.24, 297.12 and 153.08 is: 211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 297.12 = 153.08 : x
  2. Step 2: Convert to fraction form
    215.24/297.12 = 153.08/x
  3. Step 3: Cross multiply
    215.24x = 297.12 × 153.08
  4. Step 4: Simplify right side
    215.24x = 45,483.13
  5. Step 5: Solve for x
    x = 45,483.13/215.24
  6. Step 6: Final answer
    x = 211.31

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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.