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Finding the Fourth Proportional to 255.24, 384.75 and 240.38

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Solution

The fourth proportional to 255.24, 384.75 and 240.38 is: 362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.24 : 384.75 = 240.38 : x
  2. Step 2: Convert to fraction form
    255.24/384.75 = 240.38/x
  3. Step 3: Cross multiply
    255.24x = 384.75 × 240.38
  4. Step 4: Simplify right side
    255.24x = 92,483.08
  5. Step 5: Solve for x
    x = 92,483.08/255.24
  6. Step 6: Final answer
    x = 362.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.