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Finding the Fourth Proportional to 151.56, 228.49 and 141.98

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Solution

The fourth proportional to 151.56, 228.49 and 141.98 is: 214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.56 : 228.49 = 141.98 : x
  2. Step 2: Convert to fraction form
    151.56/228.49 = 141.98/x
  3. Step 3: Cross multiply
    151.56x = 228.49 × 141.98
  4. Step 4: Simplify right side
    151.56x = 32,439.51
  5. Step 5: Solve for x
    x = 32,439.51/151.56
  6. Step 6: Final answer
    x = 214.04

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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.