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Finding the Fourth Proportional to 215.95, 297.91 and 146.05

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Solution

The fourth proportional to 215.95, 297.91 and 146.05 is: 201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.95 : 297.91 = 146.05 : x
  2. Step 2: Convert to fraction form
    215.95/297.91 = 146.05/x
  3. Step 3: Cross multiply
    215.95x = 297.91 × 146.05
  4. Step 4: Simplify right side
    215.95x = 43,510.87
  5. Step 5: Solve for x
    x = 43,510.87/215.95
  6. Step 6: Final answer
    x = 201.49

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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.