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Finding the Fourth Proportional to 156.51, 235.67 and 116.22

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Solution

The fourth proportional to 156.51, 235.67 and 116.22 is: 175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.51 : 235.67 = 116.22 : x
  2. Step 2: Convert to fraction form
    156.51/235.67 = 116.22/x
  3. Step 3: Cross multiply
    156.51x = 235.67 × 116.22
  4. Step 4: Simplify right side
    156.51x = 27,389.57
  5. Step 5: Solve for x
    x = 27,389.57/156.51
  6. Step 6: Final answer
    x = 175.00

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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.