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Finding the Fourth Proportional to 215.62, 297.72 and 142.02

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Solution

The fourth proportional to 215.62, 297.72 and 142.02 is: 196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.62 : 297.72 = 142.02 : x
  2. Step 2: Convert to fraction form
    215.62/297.72 = 142.02/x
  3. Step 3: Cross multiply
    215.62x = 297.72 × 142.02
  4. Step 4: Simplify right side
    215.62x = 42,282.19
  5. Step 5: Solve for x
    x = 42,282.19/215.62
  6. Step 6: Final answer
    x = 196.10

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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.