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Finding the Fourth Proportional to 145.32, 218.25 and 99.69

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Solution

The fourth proportional to 145.32, 218.25 and 99.69 is: 149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.32 : 218.25 = 99.69 : x
  2. Step 2: Convert to fraction form
    145.32/218.25 = 99.69/x
  3. Step 3: Cross multiply
    145.32x = 218.25 × 99.69
  4. Step 4: Simplify right side
    145.32x = 21,757.34
  5. Step 5: Solve for x
    x = 21,757.34/145.32
  6. Step 6: Final answer
    x = 149.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.