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Finding the Fourth Proportional to 215.52, 295.64 and 203.10

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Solution

The fourth proportional to 215.52, 295.64 and 203.10 is: 278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.52 : 295.64 = 203.10 : x
  2. Step 2: Convert to fraction form
    215.52/295.64 = 203.10/x
  3. Step 3: Cross multiply
    215.52x = 295.64 × 203.10
  4. Step 4: Simplify right side
    215.52x = 60,043.47
  5. Step 5: Solve for x
    x = 60,043.47/215.52
  6. Step 6: Final answer
    x = 278.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.