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Finding the Fourth Proportional to 155.95, 215.21 and 86.01

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Solution

The fourth proportional to 155.95, 215.21 and 86.01 is: 118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.95 : 215.21 = 86.01 : x
  2. Step 2: Convert to fraction form
    155.95/215.21 = 86.01/x
  3. Step 3: Cross multiply
    155.95x = 215.21 × 86.01
  4. Step 4: Simplify right side
    155.95x = 18,509.14
  5. Step 5: Solve for x
    x = 18,509.14/155.95
  6. Step 6: Final answer
    x = 118.69

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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.