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Finding the Fourth Proportional to 145.29, 219.01 and 136.93

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Solution

The fourth proportional to 145.29, 219.01 and 136.93 is: 206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.29 : 219.01 = 136.93 : x
  2. Step 2: Convert to fraction form
    145.29/219.01 = 136.93/x
  3. Step 3: Cross multiply
    145.29x = 219.01 × 136.93
  4. Step 4: Simplify right side
    145.29x = 29,989.04
  5. Step 5: Solve for x
    x = 29,989.04/145.29
  6. Step 6: Final answer
    x = 206.41

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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.