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Finding the Fourth Proportional to 145.26, 216.99 and 132.48

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Solution

The fourth proportional to 145.26, 216.99 and 132.48 is: 197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.26 : 216.99 = 132.48 : x
  2. Step 2: Convert to fraction form
    145.26/216.99 = 132.48/x
  3. Step 3: Cross multiply
    145.26x = 216.99 × 132.48
  4. Step 4: Simplify right side
    145.26x = 28,746.84
  5. Step 5: Solve for x
    x = 28,746.84/145.26
  6. Step 6: Final answer
    x = 197.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.