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Finding the Fourth Proportional to 155.83, 215.16 and 106.81

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Solution

The fourth proportional to 155.83, 215.16 and 106.81 is: 147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.83 : 215.16 = 106.81 : x
  2. Step 2: Convert to fraction form
    155.83/215.16 = 106.81/x
  3. Step 3: Cross multiply
    155.83x = 215.16 × 106.81
  4. Step 4: Simplify right side
    155.83x = 22,981.24
  5. Step 5: Solve for x
    x = 22,981.24/155.83
  6. Step 6: Final answer
    x = 147.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.