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Finding the Fourth Proportional to 255.84, 384.15 and 243.84

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Solution

The fourth proportional to 255.84, 384.15 and 243.84 is: 366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.84 : 384.15 = 243.84 : x
  2. Step 2: Convert to fraction form
    255.84/384.15 = 243.84/x
  3. Step 3: Cross multiply
    255.84x = 384.15 × 243.84
  4. Step 4: Simplify right side
    255.84x = 93,671.14
  5. Step 5: Solve for x
    x = 93,671.14/255.84
  6. Step 6: Final answer
    x = 366.13

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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.