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Finding the Fourth Proportional to 155.55, 233.10 and 106.77

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Solution

The fourth proportional to 155.55, 233.10 and 106.77 is: 160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.55 : 233.10 = 106.77 : x
  2. Step 2: Convert to fraction form
    155.55/233.10 = 106.77/x
  3. Step 3: Cross multiply
    155.55x = 233.10 × 106.77
  4. Step 4: Simplify right side
    155.55x = 24,888.09
  5. Step 5: Solve for x
    x = 24,888.09/155.55
  6. Step 6: Final answer
    x = 160.00

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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.