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Finding the Fourth Proportional to 255.88, 383.36 and 152.88

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Solution

The fourth proportional to 255.88, 383.36 and 152.88 is: 229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.88 : 383.36 = 152.88 : x
  2. Step 2: Convert to fraction form
    255.88/383.36 = 152.88/x
  3. Step 3: Cross multiply
    255.88x = 383.36 × 152.88
  4. Step 4: Simplify right side
    255.88x = 58,608.08
  5. Step 5: Solve for x
    x = 58,608.08/255.88
  6. Step 6: Final answer
    x = 229.05

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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.