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Finding the Fourth Proportional to 156.78, 235.20 and 60.54

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Solution

The fourth proportional to 156.78, 235.20 and 60.54 is: 90.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.78 : 235.20 = 60.54 : x
  2. Step 2: Convert to fraction form
    156.78/235.20 = 60.54/x
  3. Step 3: Cross multiply
    156.78x = 235.20 × 60.54
  4. Step 4: Simplify right side
    156.78x = 14,239.01
  5. Step 5: Solve for x
    x = 14,239.01/156.78
  6. Step 6: Final answer
    x = 90.82

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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.