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Finding the Fourth Proportional to 368.24, 508.25 and 281.03

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Solution

The fourth proportional to 368.24, 508.25 and 281.03 is: 387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.24 : 508.25 = 281.03 : x
  2. Step 2: Convert to fraction form
    368.24/508.25 = 281.03/x
  3. Step 3: Cross multiply
    368.24x = 508.25 × 281.03
  4. Step 4: Simplify right side
    368.24x = 142,831.66
  5. Step 5: Solve for x
    x = 142,831.66/368.24
  6. Step 6: Final answer
    x = 387.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.