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Finding the Fourth Proportional to 158.53, 236.23 and 156.77

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Solution

The fourth proportional to 158.53, 236.23 and 156.77 is: 233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.53 : 236.23 = 156.77 : x
  2. Step 2: Convert to fraction form
    158.53/236.23 = 156.77/x
  3. Step 3: Cross multiply
    158.53x = 236.23 × 156.77
  4. Step 4: Simplify right side
    158.53x = 37,032.99
  5. Step 5: Solve for x
    x = 37,032.99/158.53
  6. Step 6: Final answer
    x = 233.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.