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Finding the Fourth Proportional to 156.56, 235.80 and 145.28

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Solution

The fourth proportional to 156.56, 235.80 and 145.28 is: 218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.56 : 235.80 = 145.28 : x
  2. Step 2: Convert to fraction form
    156.56/235.80 = 145.28/x
  3. Step 3: Cross multiply
    156.56x = 235.80 × 145.28
  4. Step 4: Simplify right side
    156.56x = 34,257.61
  5. Step 5: Solve for x
    x = 34,257.61/156.56
  6. Step 6: Final answer
    x = 218.82

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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.