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Finding the Fourth Proportional to 152.38, 228.63 and 145.09

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Solution

The fourth proportional to 152.38, 228.63 and 145.09 is: 217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.38 : 228.63 = 145.09 : x
  2. Step 2: Convert to fraction form
    152.38/228.63 = 145.09/x
  3. Step 3: Cross multiply
    152.38x = 228.63 × 145.09
  4. Step 4: Simplify right side
    152.38x = 33,171.93
  5. Step 5: Solve for x
    x = 33,171.93/152.38
  6. Step 6: Final answer
    x = 217.69

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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.