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Finding the Fourth Proportional to 155.77, 215.03 and 100.58

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Solution

The fourth proportional to 155.77, 215.03 and 100.58 is: 138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.77 : 215.03 = 100.58 : x
  2. Step 2: Convert to fraction form
    155.77/215.03 = 100.58/x
  3. Step 3: Cross multiply
    155.77x = 215.03 × 100.58
  4. Step 4: Simplify right side
    155.77x = 21,627.72
  5. Step 5: Solve for x
    x = 21,627.72/155.77
  6. Step 6: Final answer
    x = 138.84

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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.