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Finding the Fourth Proportional to 255.40, 383.02 and 147.24

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Solution

The fourth proportional to 255.40, 383.02 and 147.24 is: 220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.40 : 383.02 = 147.24 : x
  2. Step 2: Convert to fraction form
    255.40/383.02 = 147.24/x
  3. Step 3: Cross multiply
    255.40x = 383.02 × 147.24
  4. Step 4: Simplify right side
    255.40x = 56,395.86
  5. Step 5: Solve for x
    x = 56,395.86/255.40
  6. Step 6: Final answer
    x = 220.81

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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.