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Finding the Fourth Proportional to 145.32, 218.77 and 132.77

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Solution

The fourth proportional to 145.32, 218.77 and 132.77 is: 199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.32 : 218.77 = 132.77 : x
  2. Step 2: Convert to fraction form
    145.32/218.77 = 132.77/x
  3. Step 3: Cross multiply
    145.32x = 218.77 × 132.77
  4. Step 4: Simplify right side
    145.32x = 29,044.34
  5. Step 5: Solve for x
    x = 29,044.34/145.32
  6. Step 6: Final answer
    x = 199.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.