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Finding the Fourth Proportional to 153.24, 228.39 and 142.86

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Solution

The fourth proportional to 153.24, 228.39 and 142.86 is: 212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.24 : 228.39 = 142.86 : x
  2. Step 2: Convert to fraction form
    153.24/228.39 = 142.86/x
  3. Step 3: Cross multiply
    153.24x = 228.39 × 142.86
  4. Step 4: Simplify right side
    153.24x = 32,627.80
  5. Step 5: Solve for x
    x = 32,627.80/153.24
  6. Step 6: Final answer
    x = 212.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.