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Finding the Fourth Proportional to 215.63, 297.47 and 145.60

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Solution

The fourth proportional to 215.63, 297.47 and 145.60 is: 200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.63 : 297.47 = 145.60 : x
  2. Step 2: Convert to fraction form
    215.63/297.47 = 145.60/x
  3. Step 3: Cross multiply
    215.63x = 297.47 × 145.60
  4. Step 4: Simplify right side
    215.63x = 43,311.63
  5. Step 5: Solve for x
    x = 43,311.63/215.63
  6. Step 6: Final answer
    x = 200.86

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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.