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Finding the Fourth Proportional to 156.37, 235.71 and 147.53

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Solution

The fourth proportional to 156.37, 235.71 and 147.53 is: 222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.37 : 235.71 = 147.53 : x
  2. Step 2: Convert to fraction form
    156.37/235.71 = 147.53/x
  3. Step 3: Cross multiply
    156.37x = 235.71 × 147.53
  4. Step 4: Simplify right side
    156.37x = 34,772.38
  5. Step 5: Solve for x
    x = 34,772.38/156.37
  6. Step 6: Final answer
    x = 222.38

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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.