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Finding the Fourth Proportional to 145.93, 219.09 and 115.53

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Solution

The fourth proportional to 145.93, 219.09 and 115.53 is: 173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.93 : 219.09 = 115.53 : x
  2. Step 2: Convert to fraction form
    145.93/219.09 = 115.53/x
  3. Step 3: Cross multiply
    145.93x = 219.09 × 115.53
  4. Step 4: Simplify right side
    145.93x = 25,311.47
  5. Step 5: Solve for x
    x = 25,311.47/145.93
  6. Step 6: Final answer
    x = 173.45

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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.