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Finding the Fourth Proportional to 156.60, 233.75 and 115.83

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Solution

The fourth proportional to 156.60, 233.75 and 115.83 is: 172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.60 : 233.75 = 115.83 : x
  2. Step 2: Convert to fraction form
    156.60/233.75 = 115.83/x
  3. Step 3: Cross multiply
    156.60x = 233.75 × 115.83
  4. Step 4: Simplify right side
    156.60x = 27,075.55
  5. Step 5: Solve for x
    x = 27,075.55/156.60
  6. Step 6: Final answer
    x = 172.90

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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.