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Finding the Fourth Proportional to 145.29, 199.99 and 110.26

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Solution

The fourth proportional to 145.29, 199.99 and 110.26 is: 151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.29 : 199.99 = 110.26 : x
  2. Step 2: Convert to fraction form
    145.29/199.99 = 110.26/x
  3. Step 3: Cross multiply
    145.29x = 199.99 × 110.26
  4. Step 4: Simplify right side
    145.29x = 22,050.66
  5. Step 5: Solve for x
    x = 22,050.66/145.29
  6. Step 6: Final answer
    x = 151.77

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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.