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Finding the Fourth Proportional to 215.53, 297.57 and 145.60

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Solution

The fourth proportional to 215.53, 297.57 and 145.60 is: 201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.53 : 297.57 = 145.60 : x
  2. Step 2: Convert to fraction form
    215.53/297.57 = 145.60/x
  3. Step 3: Cross multiply
    215.53x = 297.57 × 145.60
  4. Step 4: Simplify right side
    215.53x = 43,325.99
  5. Step 5: Solve for x
    x = 43,325.99/215.53
  6. Step 6: Final answer
    x = 201.02

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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.