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Finding the Fourth Proportional to 145.90, 219.19 and 91.23

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Solution

The fourth proportional to 145.90, 219.19 and 91.23 is: 137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.90 : 219.19 = 91.23 : x
  2. Step 2: Convert to fraction form
    145.90/219.19 = 91.23/x
  3. Step 3: Cross multiply
    145.90x = 219.19 × 91.23
  4. Step 4: Simplify right side
    145.90x = 19,995.82
  5. Step 5: Solve for x
    x = 19,995.82/145.90
  6. Step 6: Final answer
    x = 137.05

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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.