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Finding the Fourth Proportional to 151.56, 228.24 and 115.74

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Solution

The fourth proportional to 151.56, 228.24 and 115.74 is: 174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.56 : 228.24 = 115.74 : x
  2. Step 2: Convert to fraction form
    151.56/228.24 = 115.74/x
  3. Step 3: Cross multiply
    151.56x = 228.24 × 115.74
  4. Step 4: Simplify right side
    151.56x = 26,416.50
  5. Step 5: Solve for x
    x = 26,416.50/151.56
  6. Step 6: Final answer
    x = 174.30

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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.