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Finding the Fourth Proportional to 152.57, 228.75 and 126.78

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Solution

The fourth proportional to 152.57, 228.75 and 126.78 is: 190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.57 : 228.75 = 126.78 : x
  2. Step 2: Convert to fraction form
    152.57/228.75 = 126.78/x
  3. Step 3: Cross multiply
    152.57x = 228.75 × 126.78
  4. Step 4: Simplify right side
    152.57x = 29,001.50
  5. Step 5: Solve for x
    x = 29,001.50/152.57
  6. Step 6: Final answer
    x = 190.09

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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.