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Finding the Fourth Proportional to 255.95, 384.17 and 187.91

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Solution

The fourth proportional to 255.95, 384.17 and 187.91 is: 282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.95 : 384.17 = 187.91 : x
  2. Step 2: Convert to fraction form
    255.95/384.17 = 187.91/x
  3. Step 3: Cross multiply
    255.95x = 384.17 × 187.91
  4. Step 4: Simplify right side
    255.95x = 72,186.52
  5. Step 5: Solve for x
    x = 72,186.52/255.95
  6. Step 6: Final answer
    x = 282.04

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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.